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Mathematics LibreTexts

3.2E: Functions and Function Notation (Exercises)

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For the following exercises, determine whether the relation is a function.

1. {(a,b),(c,d),(e,d)}
2. \{(5,2),(6,1),(6,2),(4,8)\}\)
3. y2+4=x, for x the independent variable and y the dependent variable
4. Is the graph in Figure 1 a function?

Graph of a parabola.

For the following exercises, evaluate the function at the indicated values:

f(3);f(2);f(a);f(a);f(a+h).

5. f(x)=2x2+3x
6. f(x)=2|3x1|

For the following exercises, determine whether the functions are one-to-one.

7. f(x)=3x+5
8. f(x)=∣x3

For the following exercises, use the vertical line test to determine if the relation whose graph is provided is a function.

9.

Graph of a cubic function.

10.

Graph of a relation.

11.

Graph of a relation.

For the following exercises, graph the functions.

12. f(x)=∣x+1
13. f(x)=x22

For the following exercises, use Figure 2 to approximate the values.

Graph of a parabola.

14. f(2)
15. f(2)
16. If f(x)=2, then solve for x.
17. If f(x)=1, then solve for x.

For the following exercises, use the function h(t)=16t2+80t to find the values in simplest form.

18. h(2)h(1)21
19. h(a)h(1)a1


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