1. Warm-Up Find the point(s) of intersection.2.
Warm-Up Find the point(s) of intersection.

2. Linear, Exponential, or Neither

3. Linear functions have a CONSTANT rate of change.
Exponential functions have a common ratio.
How can we determine the difference between a linear function and an exponential function?

4. Linear
For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer.

5. Exponential Rounds of Tennis 1 2 3 4 5
For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer.
Rounds of Tennis 1 2 3 4 5
Number of Players left in Tournament 64 32 16 8

6. 3. This function is decreasing at a constant rate.
For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer.
Linear

7. 4. A person’s height as a function of a person’s age (from age 0 to 100).
For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer.
Neither

8. For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer.
Linear

9. 6. Each term in a sequence is exactly 1/3 of the previous term.
For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer.
Exponential

10. Linear and Exponential Stories

11. Which function increases faster, f(x) = 4x – 5 or g(x) = 4x – 5?-3 -2 -1 1 2 3
Which function increases faster, f(x) = 4x – 5 or g(x) = 4x – 5? x
g(x) = 4x - 5 -3 -2 -1 1 2 3

12. Lena has been offered a job with two salary options.
The first option is modeled by the function f(x) = 500x + 31,000, where f(x) is her salary in dollars after x years.
The second option is represented by the function g(x) = 29,000(1.04)x, where g(x) is her salary in dollars after x years.
If Lena is hoping to keep this position for at least 5 years, which salary option should she choose? Support your answer by finding the rate of change over the first 5 years.

13. Write your own story to match each of the following functions:
1. 2.