Relations and functions

High School Math 1 · Unit 7 · function-foundations

function-foundations

Name ______________________________Date ______________

1.
If $f(x) = 3x - 5$ , find $f(4)$ .
Answer: ______________
2.
Let $f(x) = \dfrac{x + 4}{2}$ . Find the value of $x$ for which $f(x) = 11$ .
Answer: ______________
3.
Which relation is a function?
1. (A)
  $\{(1, 2),\ (2, 3),\ (1, 4)\}$
2. (B)
  $\{(0, 1),\ (0, 2),\ (0, 3)\}$
3. (C)
  $\{(2, 1),\ (2, 3),\ (3, 4)\}$
4. (D)
  $\{(1, 2),\ (2, 2),\ (3, 2)\}$
4.
What is the domain of $f(x) = \sqrt{x - 1}$ , in interval notation?
1. (A)
  $(-\infty, \infty)$
2. (B)
  $[1, \infty)$
3. (C)
  $(1, \infty)$
4. (D)
  $[0, \infty)$
5.
The function $C(m) = 25 + 0.15m$ gives the cost in dollars of renting a van and driving it $m$ miles. For how many miles driven is the cost $61?
Answer: ______________