Trigonometry and Pre- Calculus Tutor Worksheet 2 Exponential ...

Trigonometry and PreCalculus Tutor Worksheet 2

Exponential Functions

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Trigonometry and Pre-Calculus Tutor ? Worksheet 2 ? Exponential Functions

Directions: For each question, 1 ? 10, identify the y?intercept of the graph; determine whether the function is an exponential growth or decay; state how the function value changes for each unit change of x; and calculate the value of the function at the given input values.

1. () = 0. 4, find (4) and (6).

2.

()

=

(3)

2

,

find

(8)

and

(12).

3.

()

=

-

(5)

2

,

find

h(-3)

and

(3).

4. () = 2. 4, find (2) and (4).

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5. () = (3)4-, find (3) and (6).

6. () = -(2)+3, find (-3) and (-4).

7. () = -(0.8)2-, find (4) and (5).

8. () = 3. 51+, find (2) and (3).

9.

()

=

(5)

3

,

find

(3)

and

(5).

10. () = (12)+5, find (-3) and (3).

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Let's expand on the content of the lesson. Use the formula of () = () for the exponential function, where is the y ? intercept, and is the growth or decay factor. If > 1, the function is an exponential growth function, and if 0 < < 1, the function is an exponential decay function. Given two points on the exponential function's graph, you can identify the equation of the function. Directions: For each question, 11 ? 20, use the given points to identify the equation of the exponential function. 11. Points (0, 1) and (1, 4).

12. Points (0, 1) and (1, 9).

13. Points (0, -1) and (1, - 13).

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14. Points (0, -1) and (1, -6).

15. Points (0, 2) and (1, 4).

16. Points (0, 5) and (1, 1).

17. Points (1, 8) and (2, 16).

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