The table below gives input and output values for the function h(x) = a x . input output -2 .0625 -1 .25 0 1 1 4 2 what is the value of a 2?

h(2) = 16

The table values are consistent with the definition ...

... h(x) = 4^x

Then ...

... h(2) = 4^2 = 16

How do we know?

When x increases by 1 unit, h(x) increases by a factor of 4, so we know the base of the exponential term is 4. When x=0, h(0) = 1, so we know the multiplier of the exponential term is 1.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above