Unit 1 Parent Functions and Their Key Features Unit Test

The range for a quadratic function is all real numbers.

• True

• False; the domain of a quadratic function is all real numbers

• False; the range of a quadratic function is undefined

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

The quadratic function

 $f\left(x\right)\ =\ x^2\ -\ 2\ has\ a\ domain\ of\ \left[-2,\ \infty\right)$  

• True

• False;  the domain is  $\left[2,\ \infty\right)$  

• False; the domain is  $\left(2,\ \infty\right)$  

• False; the domain is all real numbers

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

If you have a translated function in the form

 $f\left(x\right)\ =\ \left(x-h\right)^2\ -\ k\ ,\$  the graph shifted h units right, and k units down.

• True

• False; the graph shifted h units left, and k units down

• False; the graph shifted h units right, and k units up

• False; the graph shifted h units left, and k unit up

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

If

 $f\left(x\right)\ =\ \sqrt{x}$  has a reflection about the x-axis, its new function is  $f\left(x\right)\ =\ -\sqrt{x}$  

• True

• False; The reflection is about the y-axis

• False; The reflection about the x-axis will yield a new function  $f\left(x\right)=\sqrt{-x}$  

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

 $f\left(x\right)\ =\ 5^x$  

The function given has a y-intercept of (0, 5)

• True

• False; The y intercept is undefined

• False; The y-intercept is (0, 1)

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

If a function crosses an axis at (a, 0), this location is known as an x-intercept of the function.

• True

• False; The x-intercept is (0, a)

• False; The y-intercept is (a, 0)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

 $f\left(x\right)=\sqrt{x+4}+2$  

Describe the domain and range for the given function

• Domain  $\left(4,\ \infty\right)$  Range  $\left(-\infty,\infty\right)$  

• Domain  $\left[-4,\infty\right)$  Range  $\left[2,\ \infty\right)$  

• Domain  $\left(-4,\infty\right)$  Range  $\left(-\infty,\ 2\right]$  

• Domain  $\left[2,\ \infty\right)$  Range  $\left[-4,\ \infty\right)$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

 $f\left(x\right)=4-x^2$  

Describe the positive interval the given function

•  $\left(-\infty,0\right)$  

•  $\left(-2,\ 2\right)$  

•  $\left(-\infty,\ -2\right)\cup\ \left(2,\ \infty\right)$  

•  $\left(0,\ \infty\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

 $f\left(x\right)=4\ -\ x^2$  

Describe the negative interval for the given function

•  $\left(-\infty,0\right)$  

•  $\left(-2,\ 2\right)$  

•  $\left(-\infty,\ -2\right)\cup\ \left(2,\infty\right)$  

•  $\left(0,\ \infty\right)$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

 $f\left(x\right)\ =4\ -x^2$  

Describe the increasing interval for the given function

•  $\left(-\infty,\ 0\right)$  

•  $\left(-2,2\right)$  

•  $\left(-\infty,\ -2\right)\cup\ \left(2,\ \infty\right)$  

•  $\left(0,\ \infty\right)$