an exponential function is graphed on the grid
based on the graph, which statement about the function is true
a) the domain is the set of all real numbers
b) the domain is the set of all real numbers less than 3
c) the range is the set of all real numbers greater than or equal to 0
d) the range is the set of all real numbers greater than or equal to -9
Answers
Answer:
a) the domain is the set of all real numbers
Step-by-step explanation:
Given:
An exponential function and its graph.
A line parallel to [tex]x[/tex] axis is drawn at [tex]y=-9[/tex] which is a dashed line.
Dashed line means, the function does not attain a value equal to [tex]y=-9[/tex].
Domain of a function, [tex]y=f(x)[/tex] is the set of values which can be possible for the variable [tex]x[/tex] that can be given as input.
Range of a function, [tex]y=f(x)[/tex] is the set of possible values of [tex]y[/tex] i.e. the output of the function.
As seen from the graph, the domain of the exponential function does not have any constraint on it.
Therefore, any real number can be given as input.
So, a) The domain is the set of all real numbers.
Let us discuss about the range of function.
As stated above as well, the range of the function can not contain the value [tex]y=-9[/tex].
And there is no value possible below it.
So, the range is all real numbers greater than -9.
The answer is:
"a) the domain is the set of all real numbers" is true.
Related Questions
Use f(x) = 1/2x and f -1(x) = 2x to solve the problems.
f(2) =
f−1(1) =
f−1(f(2)) =
Answers
[tex]f(2) = \frac{1}{2} \times 2 = 1\\f^{-1}(1) = 2 \times 1 = 2\\f^{-1}(f(2)) = f^{-1}(1) = 2[/tex]
Note: [tex]f^{-1}(f(x)) = x[/tex] because f -1 and f cancel each other out.
Answer:
f(2) =
⇒ 1
f−1(1) =
⇒ 2
f−1(f(2)) =
⇒ 2
f−1(−2) =
⇒ -4
f(−4) =
⇒ -2
f(f−1(−2)) =
⇒ -2
Step-by-step explanation:
WILL GIVE BRAINLIEST, PLS ANSWER ASAP
Answers
Answer:
THE THIRD CHOICE
Step-by-step explanation:
2. Two bicyclists on a 75-mile trail ride toward each other. One bicyclist
begins at the 45-mile marker. The other begins at the end of the trail. The
expressions shown represent the distance from the Parking Lot for each
A. Write an equation to represent the bicyclists' meeting after x hours.
plify.
bicyclist when they meet.
B. After how many hours do the bicyclists meet?
Parking
Lot
75 - 10x
45 + 10x
75 mi
C. How far away are the bicyclists from the
parking lot when they meet?
Answers
Answer:
A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x
B. The bicyclist meet after 1.5 hours
C. They were 60 miles from the parking lot when they meet
Step-by-step explanation:
A. The starting location of the one of the bicyclist = 75-mile marker
The starting location of the other bicyclist = 45-mile marker
The direction of motion of the bicyclist = Towards each other
The time after which the bicyclist meet = x hours
The expression for the distance from the parking lot are
75 - 10x and 45 + 10x
Whereby the bicyclist are have the same speed, v, we have;
The location where they meet is 75 - v×x = 45 + v×x
B. Solving for x, we have;
75 - v×x = 45 + v×x
75 - 45 = v×x + v×x = 2×v×x
30 = 2×v×x
x = 30/(2×v)
Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;
x = 30/(2×v) = 30/(2×10) = 1.5
x = 1.5 hours
The bicyclist meet after 1.5 hours
C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;
75 - 10 × 1.5 = 60 miles
45 + 10 × 1.5 = 60 miles
Therefore, they were 60 miles from the parking lot when they meet.
Answer:
A. The equation representing the bicyclist with equal speed, v, meeting after x hours is 75 - v·x = 45 + v·x
B. The bicyclist meet after 1.5 hours
C. They were 60 miles from the parking lot when they meet
Step-by-step explanation:
A. The starting location of the one of the bicyclist = 75-mile marker
The starting location of the other bicyclist = 45-mile marker
The direction of motion of the bicyclist = Towards each other
The time after which the bicyclist meet = x hours
The expression for the distance from the parking lot are
75 - 10x and 45 + 10x
Whereby the bicyclist are have the same speed, v, we have;
The location where they meet is 75 - v×x = 45 + v×x
B. Solving for x, we have;
75 - v×x = 45 + v×x
75 - 45 = v×x + v×x = 2×v×x
30 = 2×v×x
x = 30/(2×v)
Taking the speed of the bicyclist as 10 mph from the equation of their distance from the parking lot, by dimensional analysis, we have;
x = 30/(2×v) = 30/(2×10) = 1.5
x = 1.5 hours
The bicyclist meet after 1.5 hours
C. Their distance from the packing lot is given by substituting the time, x, it took them to meet into the expression for the distance from the parking lot as follows;
75 - 10 × 1.5 = 60 miles
45 + 10 × 1.5 = 60 miles
Therefore, they were 60 miles from the parking lot when they meet.
Which process do we use in reverse to solve two-step equations?
Answers
Answer: Inverse Operation
Step-by-step explanation:
(x + 17/5) - (3x - 7/4) = -2
Help me solve
Answers
Answer:
x=143/40
or
x=3.575
Step-by-step explanation:
Describe the relationship between volume, mass, and density. If a
marble with a density of 2.4 g/cm^3 was cut in half, what would be the
the density of half the marble?
Answers
Answer:
2.4 g/cm^3
Step-by-step explanation:
Density is the ratio of mass to volume (as the units g/cm^3 tell you). If you cut the marble in half, each piece will have half the mass and half the volume, so the density remains unchanged. It will still be ...
2.4 g/cm^3
What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?
A. y-12=6/5(x+9)
B. y-12=5/6(x+9)
C. y-9=5/6(x-12)
D. y-12=6/5(x-9)
Answers
Answer:
B (lmk if you want me to explain)
Step-by-step explanation:
the point slope form is
y-y1=m(x-x1)
y-12=5/6(x--9)
y-12=5/6(x+9)
A.The human race evacuate earth and inhabit mars. Each space shuttle can hold
1700 people.6,840,507,000 people on the planet. How many space shuttle trip will
need to be made?
Answers
Answer:
4,023,828
Step-by-step explanation:
I simply divded the two. I got 4,023,827.6470598824. I rounded it up after.
The sum of two consecutive odd integers equals 12. What are they?
xrepresents
integer
X+ 2 represents
integer
Answers
Answer:
x = 5
The two consecutive odd integers are: 5, 7
And...checking
sum = 12
Step-by-step explanation:
Sue Ling gave her dad a $50 gift certificate. He plans to buy a $12 book on home repair
and as many drill bits as he can for $1.79 each. Choose the inequality that shows x, the
number of drill bits he can buy.
I
Answers
Answer:
12 + 1.79(x) ≤ 50
Number of drill bits = 21
Step-by-step explanation:
Given:
Total amount = $50
Amount of book = $12
Price of each bit = $1.79
Find:
Number of drill bits
Computation:
Assume, Number of drill bits = x
So,
12 + 1.79(x) ≤ 50
1.79(x) ≤ 38
x ≤ 21.220
Number of drill bits = 21
#1 Describe the translation of the point to its image.
(-15, 22) - (25, 15)
type here
Answers
Answer:
40 units to the right and 7 units down
I HAVE 5 MINUTES PLZ HELP!
(Multiple choice)
Answers
Answer:
i think its B or A
Step-by-step explanation:
2= 5 j -28 one or two step equation
Answers
Answer:
j=6
Step-by-step explanation:
2=5j-28
+28 +28
30=5j
/5 /5
j=6
Evaluate: 5/8 - (1/4)²
Answers
Answer:
5/8 - (1/4)^2 = 0.5625, hope this helps!
Add.
(3x + 4) + (5x - 7)
Answers
Answer:
The answer is 8x - 3
Solve the following equation for D:
fD-7=q2
Answers
The expression that represents D is (q²+7)/f
The subject of formula is a way of representing a variable to represent all other variables in a function
Given the expression
fD - 7 = q²Add 7 to both sides
fD - 7 + 7 = q² + 7
fD = q² + 7
Divide both sides by f
fD/f = (q²+7)/f
D = (q²+7)/f
Hence the expression that represents D is (q²+7)/f
Learn more here: https://brainly.com/question/21406377
Number 4. I need help finding the value please help
Answers
Answer:
Step-by-step explanation:
you buy a rack of 40 cds you have 23 cd
Answers
Answer:
um... what.
WHAT'S THE QUESTION
bruuh
bruh
Step-by-step explanation:
pls answer asap with a picture of your work:) i’m being timed
Answers
Answer:
x = 7
Step-by-step explanation:
Daisy decides to go on a hike to a picnic area. Her map shows that when she reaches the giant oak tree she will have completed 60% of the hike. When Daisy reaches the giant oak tree she has walked 18 kilometers.
Answers
Answer:
12 kmStep-by-step explanation:
Question:How many kilometers does Daisy have left to reach the picnic area?Given
60% of the hike = 18 kmLet the distance be x, then
0.6x = 18x = 18/0.6x = 30 kmRemaining distance is:
30 - 18 = 12 km
Help me !!!!!!!!!!!!!!!!
Answers
Answer:
c/9 >= 15
Step-by-step explanation:
c divided by 9 is greater than or equal to 15
what is the answer plz help.
Answers
Answer:
0.2
Step-by-step explanation:
C.O.P-the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
So to find that you would divide y by x.
In this case the dot is between 0 and 2 on y so it is 1 and between 4 and 6 on x so it is 5.
Then you would divide 1/5 and get 0.2 or you could look at the end of the graph and notice that the last point is at (10,2) and divide 2/10 and get the same thing.
HOPE THIS HELPS!!!
Which shows the image of triangle WXY after the transformation R0, –90°(x, y)?
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (2, negative 1), W prime (4, negative 1), X prime (4, negative 4).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 4, 4), W prime (negative 4, 2), X prime (negative 1, 2).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 1, 2), W prime (negative 1, 4), X prime (negative 4, 4).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (5, negative 3), W prime (5, negative 1), X prime (2, negative 1).
Answers
Answer:
its c
Step-by-step explanation:
trust me
Answer:
c
Step-by-step explanation:
5,11,0,-3, and -3/2 in order form least to greatest
Answers
Answer:
-3, -3/2, 0, 5, 11
Step-by-step explanation:
-3/2 = -1.5
-3, -3/2, 0, 5, 11
Answer:
-3, -3/2, 0, 5, 11
Step-by-step explanation:
-10, -7, -4, -1, ...
Answers
Answer:
2
Step-by-step explanation:
The pattern is +3 each time so -1 + 3 = 2
-10, -7 ,-4 , -1 ,2
This is the table of values of a function. Write the output when the input is n.
Input= 4 6 9 n
Output= 2 4 7 ?
Answers
Answer:
n-2
Step-by-step explanation:
1. Find what has been done to the input value to give the output value. Here, we can see that each input value is two more than each output value, so two has been subtracted from each input value to give the output. This means that the rule for this function is: take the input value and subtract two.
2. Express this in terms of n. We can then express this in terms of n (using n to show the rule that we have found). Since n is the input value we have, to find the output when the input is n, we subtract two from n. This gives us our answer of n-2.
Struggling with geometry
Answers
Answer:
43 degrees. b and the other angle being compared too are vertical angles- vertical angles are AND have to be identical to each other.
Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.
Select ALL statements that MUST be true. *
A. Angle ABC is 60 degrees.
B. Angle AQA' is 60 degrees.
C. Points C and C' coincide.
D. Triangles ABC and A'B'C' are congruent.
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
G. Segment BQ is congruent to segment C'Q.
H.Segment AQ is congruent to segment A'Q.
Answers
Answer:
The correct options are;
D. Triangles ABC and A'B'C' are congruent
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
H. Segment AQ is congruent to segment A'Q'
Step-by-step explanation:
The given information are;
The angle of rotation of triangle ABC = 60°
Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;
1) The length of the sides of the figure of the preimage and the image are congruent
Therefore;
BC ≅ B'C'
2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image
Therefore;
∠ABC ≅ ∠A'B'C'
3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation
Therefore;
Segment AQ ≅ A'Q'.
How many groups of 1/4 are in 3/4
Answers
3.) How fast does Greg type per minute___
Answers
Answer:
is there more to this question?
Step-by-step explanation: