Function Notation Practice

Function Notation Practice

Read each question carefully and follow the instructions to determine the correct answers. Show all your work where applicable.

1. In function notation, f(x) represents the   value when the input is x.

2. If f(x) = 2x + 5, then f(3) means we substitute   for x in the expression.

3. The notation g(t) indicates that 'g' is the name of the   and 't' is the   variable.

4. A function assigns exactly one   value for each input value.

Given the function f(x) = 3x - 7, find:

5. f(5)

6. f(-2)

7. f(0)

Given the function h(t) = t² + 4, find:

8. h(3)

9. h(-1)

10. If g(x) = 10 - x, what is g(7)?

11. For the function k(p) = p/2 - 1, what is k(10)?

12. If f(x) = x + 3, then f(x) is the same as y = x + 3.

13. In the expression f(5), the '5' represents the output of the function.

14. Consider the function f(x) = x + 1.

Complete the table of values:

Plot the points from your table on the graph below.