Welcome to your ACT 1 Alg: Apply function concepts

$Q_{1}:$ Which of the following relation is a finite set?

$Q_{2}:$ How many of the following graphs are graphs of functions?

Hint

$Q_{3}:$ If $a$ and $b$ are real numbers, and if $\{ (1, 2), (3, 4), (a, 6), (7, b) \}$ is a function, which of the following true about $a$ and $b$?

$Q_{4}:$ If $f(x)$ is a function and $r$ is a positive number, the graph of $y = f (x) + r $ is

$Q_{5}:$ If $f(x)$ is a function and $r$ is a positive number, the graph of $y = f (x-r) $ is

$Q_{6}:$ If $\{ (1, 5), (2, 13), (x, y) \} $ is a function, which of the following must be true?

$Q_{7}:$ Which of the following graphs is not the graph of a function?

Hint

$Q_{8}:$ Which of the following is not the equation of a function?

$Q_{9}:$ Which of the following graphs is NOT the graph of a function?

Hint

$Q_{10}:$ Which of the following equations is a function?

$Q_{11}:$ Which of the following is NOT a function?

$Q_{12}:$ If $f(x) = 2x^{2} + 3x − 12$, what is $f(x − 4)$?

$Q_{13}:$ Which of the following relationship is a function?

$Q_{14}:$ If $f(x) = 4(x − 3)$, for what value of $x$ is \frac{1}{ f(x)} undefined?

$Q_{15}:$ The table below shows some values of the linear function $g$. Which of the following defines $g$?

$Q_{16}:$ In the standard $(x, y)$ coordinate plane, which of the following statements best describes the graph of $−f (x)$ in terms of the graph of $f (x)$ for any function $f (x)$?

$Q_{17}:$ One of the following graph is NOT a function?

$Q_{18}:$ Let $f(x)$ be a function, then $f(x)+d$ is

$Q_{19}:$ Let $f(x)$ be a function, then $f(-x)$ is

$Q_{20}:$ A .......... is a set of ordered pairs. A relation can be represented by a graph, a table, or a mapping.

$Q_{21}:$ A .......... is a special type of relation in which each element of the domain is paired with exactly one element of the range.

$Q_{22}:$ If $f(x)=3x+2$, find $f(c-2)=$

$Q_{23}:$ One of the following relation is not function?

$Q_{24}:$ What is the domain of the function that contains points at $( 5, 2), ( 2,1), (0, 2),$ and $(4, 3)$?

$Q_{25}:$ Which of the following relations is not represent a function?