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GRAPHING EXPONENTIAL FUNCTIONS
1. If (-1, y) lies on the graph of y = 3^x+1, then y =
a) 0
b) 1/3
c) 1

2. If (x, 1/100) lies on the graph of y = 10^x, then x =
a) 2
b) -1/2
c) -2

3. If (-1, y) lies on the graph of y = 2^2x, then y =
a) -4
b) 1/4
c) 1

4. What is the relationship between the graphs of y = 2^x and y = 2^-x?
a) reflections over the x-axis
b) reflections over the y-axis
c) reflections over y = x

5. If (3, y) lies on the graph of y = -(2x), then y =
a) 1/8
b) -6
c) -8

6. Which of the following equations is not exponential?
a) y = 1x
b) y = (1/2)x
c) y = -2x

7. If (-2, y) lies on the graph of y = 4^x, then y =
a) -16
b) 1/16
c) 16

8. If (-3, y) lies on the graph of y = 3^-x, then y =
a) -27
b) 1/27
c) 27

9. If (-3, y) lies on the graph of y = 3^x, then y =
a) 1/27
b) -1
c) -27

10. If (-3, y) lies on the graph of y = (1/2)^x, then y =
a) 8
b) 1/8
c) -8

Answer :

nobillionaireNobley
1. If (-1, y) lies on the graph of y = 3^(x+1), then y = 3^(-1 + 1) = 3^0 = 1

2. If (x, 1/100) lies on the graph of y = 10^x, then 1/100 = 10^x
10^-2 = 10^x
x = -2

3. If (-1, y) lies on the graph of y = 2^2x, then y = 2^2(-1) = 2^(-2) = 1/4

4. The relationship between the graphs of y = 2^x and y = 2^-x is reflections over the y-axis.

5. If (3, y) lies on the graph of y = -(2x), then y = -2(3) = -6

6. All are not exponential

7. If (-2, y) lies on the graph of y = 4^x, then y = 4^(-2) = 1/4^2 = 1/16

8. If (-3, y) lies on the graph of y = 3^-x, then y = 3^-(-3) = 3^3 = 27

9. If (-3, y) lies on the graph of y = 3^x, then y = 3^(-3) = 1/3^3 = 1/27

10. If (-3, y) lies on the graph of y = (1/2)^x, then y = (1/2)^(-3) = 2^3 = 8

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