Question

GRAPHING EXPONENTIAL FUNCTIONS

Answer 1

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