ACT 1 Alg: Apply function concepts - One Minute Per Question

Welcome to your ACT 1 Alg: Apply function concepts

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

$ \{ (0, 0), (1, 1), (2, 4) \} $

$\{(x, y) | y = x ^{2}, x\geq 0 \} $

$\{ (x, y) | y = x ^{2} \}$

$\{ (x, y) | y^{2} + x ^{2} =0\} $

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

$1$

$2$

$3$

$4$

$Q_{3}:$ 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 $b$?

$a$ can be $1$

$b$ can be $6$

If $a$ is $7$, $b$ must be $6$

if $a$ is not $7$, then $b$ cannot be any number

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

obtained by shifting the graph of $y = f (x)$ DOWN $r$ units.

obtained by shifting the graph of $y = f (x)$ UP $r$ units.

obtained by shifting the graph of $y = f (x)$ , $r$ units to the left

obtained by shifting the graph of $y = f (x)$ , $r$ units to the right

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

obtained by shifting the graph of $y = f (x)$ DOWN $r$ units.

obtained by shifting the graph of $y = f (x)$ UP $r$ units.

obtained by shifting the graph of $y = f (x)$ , $r$ units to the left

obtained by shifting the graph of $y = f (x)$ , $r$ units to the right

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

$x>2$

$y\neq 13$

$x\neq 3$

none

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

$A$

$B$

$C$

$D$

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

$y=3$

$x=3$

$y=x$

$y=| x | $

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

$A$

$B$

$C$

$D$

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

$y^{2}=5x+3$

$x^{2}+y^{2}=4$

$y=x^{2}$

$x=y^{2}$

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

$y=x$

$x=|y|$

$y=x^{3}$

$y=\sqrt{x}$

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

$2x^{2}-13x+8$

$2x^{2}+13x+8$

$2x^{2}-13x-8$

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

$\{ (1,4), (3,5) , (1,-5), (3,-5), , (1,8) \}$

$\{ (5,0), (0,5) , (8,-8), (-8,8), , (0,0) \}$

$\{ (2,-3), (-3,2) , (4,5), (5,4), , (6,12) \}$

none

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

$1$

$0$

$4$

$3$

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

$g(x)=-2x-10$

$g(x)=-\frac{x}{2}-5$

$g(x)=-\frac{x}{2}-2$

$g(x)=4x-10$

$Q_{16}:$ 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 $f (x)$?

It is the graph of $f (x)$ shifted downward by one unit.

It is the graph of $f (x)$ shifted upward by one unit.

It is the graph of $f (x)$ shifted to the left by one unit.

None of these statements is correct.

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

A

B

C

none

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

vertical translation up $d$ unites

vertical translation down $d$ unites

vertical translation left$d$ unites

vertical translation right $d$ unites

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

reflection over $x$-axis

reflection over $y$-axis

horizontal translation right

horizontal translation left

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

relation

order pair

function

domain

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

relation

order pair

function

domain

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

$4c-3$

$3c+2$

$2c+3$

$3c-4$

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

$y=dx$

$y=x^{2}-a$

$y=\pm \sqrt{x}$

$y=x^{3}$

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

$\{-3,1,2 \}$

$\{ -2,1,0 \}$

$\{ -5,-2,1,2 \}$

$\{ -5,-2,0,4 \}$

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

a

b

c

d

Please fill in the comment box below.

Name

Email

Leave a Reply Cancel reply