1. Explain any differences between a relation and a function.
2. Describe how the phrase "is a function of" relates to the mathematical definition of function. For example, the diameter of a tree is a function of its age.
3. Write how you would find g(1) if g(x)=3x+12
4. You decide Is the statement "All linear equations are functions" true? Support your answer with examples or counterexamples.
5. The following set of ordered pairs describe a relation between x and y: {(1, -1), (-1, 2), (4, -3), (3, 2), (-2, -4), (3, -3)}. Is y a function of x? Is x a function of y? Explain your answer with a valid argument.
Determine whether each relation is a function.
6. {(-3, 1), (-1, 3), (1, -2), (3, 2)}
7.
| x | y |
| -2 | 3 |
| 5 | 3 |
| 5 | 4 |
| 4 | 0 |
8.
9. 2x
+ 3y = 36
10. y + 5 = 7x
Bonus: If h(x) = 3x + 2, find each value below:
a. h (-4)
b. h (2)
c. h (w)
d. h (r-6)