GRAPHING EXPONENTIAL FUNCTIONS

  1. If (-1, y) lies on the graph of y = 3^x+1, then y =
A0
B1/3
C1

  1. If (x, 1/100) lies on the graph of y = 10^x, then x =
A2
B-1/2
C-2

  1. If (-1, y) lies on the graph of y = 2^2x, then y =
A-4
B1/4
C1

  1. What is the relationship between the graphs of y = 2^x and y = 2^-x?
Areflections over the x-axis
Breflections over the y-axis
Creflections over y = x

  1. If (3, y) lies on the graph of y = -(2x), then y =
A1/8
B-6
C-8

  1. Which of the following equations is not exponential?
Ay = 1x
By = (1/2)x
Cy = -2x

  1. If (-2, y) lies on the graph of y = 4^x, then y =
A-16
B1/16
C16

  1. If (-3, y) lies on the graph of y = 3^-x, then y =
A-27
B1/27
C27

  1. If (-3, y) lies on the graph of y = 3^x, then y =
A1/27
B-1
C-27

  1. If (-3, y) lies on the graph of y = (1/2)^x, then y =
A8
B1/8
C-8

Verified Answer :

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

  1. 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

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

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

  4. All are not exponential

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

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

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

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