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

Linear, Exponential, or Neither

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?

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

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

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

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

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

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

Linear and Exponential Stories

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

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.

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