10-3 Analyzing Functions Graphically

10-3 Analyzing Functions Graphically

Multiple Select

Select all of the following that have a domain of $\left(-\infty,\infty\right)$ .

• Linear Function

• Quadratic Function

• Exponential Function

• Square Root Function

• Cube Root Function

Multiple Choice

What is the range of the quadratic function : $f\left(x\right)=-2\left(x-1\right)^2+3$  

•  $\left(-\infty,\infty\right)$  

•  $\left[3,-\infty\right)$  

•  $\left(-\infty,3\right)$  

•  $\left(-\infty,3\right]$  

•  $\left(3,\infty\right)$  

Multiple Choice

What is the domain of the square root function:  $f\left(x\right)=\sqrt{x+2}-1$  

•  $\left[-2,\infty\right)$  

•  $\left(-2,\infty\right)$  

•  $\left[-1,\infty\right)$  

•  $\left(-1,\infty\right)$  

Multiple Choice

What is the range of the square root function:  $f\left(x\right)=\sqrt{x+2}-1$  

•  $\left[-2,\infty\right)$  

•  $\left(-2,\infty\right)$  

•  $\left[-1,\infty\right)$  

•  $\left(-1,\infty\right)$  

Multiple Choice

What is the range of the cube root function: $f\left(x\right)=^3\sqrt{x-4}-2$  

•  $\left[-2,\infty\right)$  

•  $\left[4,\infty\right)$  

•  $\left(-2,\infty\right)$  

•  $\left(-\infty,\infty\right)$  

Multiple Choice

Describe the end behavior of the quadratic function pictured.

• As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$
  As $x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

• As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$
  As $x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

• As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$
  As $x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

• As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$
  As $x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

Multiple Choice

Describe the end behavior of the cube root function pictured.

• As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$
  As $x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

• As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$
  As $x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

• As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$
  As $x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

• As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$
  As $x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$

Multiple Choice

Describe the end behavior of the exponential function pictured.

• As  $x\rightarrow-\infty,\ f\left(x\right)\rightarrow0$ 
  As  $x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$ 

• As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$
  As $x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

• As  $x\rightarrow-\infty,\ f\left(x\right)\rightarrow0$ 
  As $x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$

• As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$
  As  $x\rightarrow\infty,\ f\left(x\right)\rightarrow0$ 

Multiple Select

Select all of the following that can have a maximum value:

• Linear Function

• Quadratic Function

• Absolute Value Function

• Square Root Function

• Cube Root Function

Multiple Choice

What is the minimum value of the quadratic function: $f\left(x\right)=2\left(x-1\right)^2+4$  

• -1

• 1

• 4

• (1,4)

• There is no minimum

Multiple Choice

What is the maximum value of the square root function: $f\left(x\right)=\sqrt{x-1}-5$  

• 1

• 5

• -5

• (1,-5)

• There is no maximum

Multiple Choice

What is the minimum value of the square root function: $f\left(x\right)=\sqrt{x-1}-5$  

• 1

• 5

• -5

• (1,-5)

• There is no minimum

Multiple Select

Select all of the following that have an axis of symmetry:

• Quadratic Function

• Exponential Function

• Absolute Value Function

• Square Root Function

• Cube Root Function

Multiple Choice

What is the axis of symmetry of the absolute value function: $f\left(x\right)=-\left|x+2\right|+4$  

• x = 2

• x = -2

• y = 2

• y = -2

• There is no axis of symmetry

Multiple Choice

 $f\left(x\right)=^3\sqrt{x+4}-1$  

What is the axis of symmetry for the cube root function:

• x = 4

• x = -4

• y = 1

• y = -1

• There is no axis of symmetry

Multiple Select

Select all of the following that have an asymptote:

• Linear Function

• Quadratic Function

• Exponential Function

• Square Root Function

• Cube Root Function

Multiple Choice

What is the asymptote for the exponential function: $f\left(x\right)=2^x-3$  

• x = -3

• y = 0

• y = 3

• y = -3

• There is no asymptote