##### Notes

This printable supports Common Core Mathematics Standard HSF-BF.B.4, HSF-BF.B.4d

##### Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

# Inverse Functions and Domain Restrictions (Grade 10)

Print Test (Only the test content will print)

## Inverse Functions and Domain Restrictions

1.
For the function $f(x) = 3(x-2)^2$, which of the following domain restrictions would cause $f(x)$ to be invertible? There may be more than one correct answer.
1. $x > 2$
2. $x>= 2$
3. $x > -2$
4. $x < 0$
2.
Let $f(x)$ be the quadratic function in the graph below. Assume that the horizontal axis represents $x$ values and the vertical axis $y$ values. Which of the following domain restrictions on $f(x)$ would make it invertible? There may be more than one correct answer. 1. $x>2$
2. $x<2$
3. $x > -4$
4. $x<=0$
3.
For the function $f(x) = x^2 - 9$, which of the following domain restrictions would make it invertible? There may be more than one correct answer.
1. $x<=0$
2. $x<3$
3. $x>=3$
4. $x > -3$
4.
For the quadratic function in the graph below, which of the following domain restrictions would make it invertible? There may be more than one correct answer. Assume that the horizontal axis represents $x$ values and the vertical axis $y$ values. 1. $x<1$
2. $x < -4$
3. $x>=5$
4. $x<0$
5.
If $f(x) = 6(x-4)^2+8$, which of the following domain restrictions would make it invertible? There may be more than one correct answer.
1. $x<= 8$
2. $x>0$
3. $x>= -4$
4. $x>4$
6.
For the absolute value function $f(x)$ pictured in the graph, which of the following domain restrictions would make it invertible? There may be more than one correct answer. Assume that the x- and y-axes have a scale of one unit. 1. $x>=1$
2. $x<=0$
3. $x<0$
4. $x<-3$
7.
For the function $f(x) = x^2 + 4x +5$, which of the following domain restrictions would make it invertible?
1. $x < -1$
2. $x<= -2$
3. $x < 2$
4. $x>=0$
8.
Given the function $f(x) = 2x^2 + 28x + 90$, which of the following restrictions on the domain of $f(x)$ would make it invertible? There may be more than one correct answer.
1. $x < 90$
2. $x >= -8$
3. $x < -7$
4. $x < 0$
9.
Let $f(x)$ be the function pictured in the graph below. Assume that the domain of the function is $x in [0,10]$. Also, assume that the scale of the x- and y-axes is one unit. Which of the intervals specified below which would make $f(x)$ invertible? There may be more than one correct answer. 1. $(0,6)$
2. $[2,6] uu (9,10)$
3. $(6,8)$
4. $(0,2) uu (6,8)$
10.
Let $f(x) = 3(x-5)^2$. Which of the following domain restrictions makes $f(x)$ invertible and ensures that $f^{-1}(x)$ has no maximum value?
1. $x>0$
2. $x>5$
3. $x<5$
4. $x<-5$        You need to be a HelpTeaching.com member to access free printables.