1. LINEAR VS. EXPONENTIAL FUNCTIONS & INTERSECTIONS OF GRAPHS

6. Holt McDougal Algebra 1 Exponential Functions The table and the graph show an insect population that increases over time.

7. Holt McDougal Algebra 1 Exponential Functions A function rule that describes the pattern above is f(x) = 2(3) x. This type of function, in which the independent variable appears in an exponent, is an exponential function. Notice that 2 is the starting population and 3 is the amount by which the population is multiplied each day.

8. Holt McDougal Algebra 1 Exponential Functions Remember that linear functions have constant first differences. Exponential functions do not have constant differences, but they do have constant ratios. As the x-values increase by a constant amount, the y- values are multiplied by a constant amount. This amount is the constant ratio and is the value of b in f(x) = ab x.

9. Linear, Exponential, or Neither

10. For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer. #1. Linear

11. For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer. #2. Rounds of Tennis12345 Number of Players left in Tournament 64321684 Exponential

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

13. For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer. #4. A person’s height as a function of a person’s age (from age 0 to100). Neither

14. For each representation of a function, decide if the function is linear, exponential, or neither. Give reasons for your answer. #5. Linear

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

16. INTERSECTIONS OF GRAPHS

17. Points of Intersection