A2 Final Exam Review #1

Find the domain of the given function:

 $f\left(x\right)\ =\ \sqrt{13\ -\ x}$  

• All real numbers

•  $x\ >\ 13$  

•  $x\ <\ 13$  

•  $x\le13$  

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Domain and Range

The graph of a function is given. What is the domain and range of the function?

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

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

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

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

Tags

Domain and Range

What is the domain and range of the given graph?

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Domain and Range

What is the range of the function

 $h\left(x\right)\ =\ -\sqrt{3x\ -\ 2}\ +\ 5$  in interval notation?

•  $\left(-\infty,\ \infty\right)$  

•  $\left[5,\ \infty\right)$  

•  $\left(-\infty,\ 5\right]$  

•  $\left[\frac{2}{3},\ \infty\right)$  

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which quadratic equation represents a parabola with a vertex at

 $\left(3,\ 6\right)$  and passes through the point  $\left(4,\ 4\right)$  ?

•  $y\ =\ -2\left(x+3\right)^2\ -\ 6$  

•  $y\ =\ \left(x+3\right)^2\ -\ 6$  

•  $y\ =\ 2\left(x-3\right)^2\ +\ 6$  

•  $y\ =\ -2\left(x\ -\ 3\right)^2\ +\ 6$  

What are the coordinates of the minimum point on the graph of

 $f\left(x\right)\ =\ x^2\ -\ 4x\ +\ 3$  

•  $\left(-1,\ -2\right)\$  

•  $\left(-1,\ 2\right)$  

•  $\left(2,\ -1\right)$  

•  $\left(2,\ 1\right)$  

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CCSS.HSF-IF.C.7B

Identify the vertex and the y-intercept of the function:  

 $y\ =\ 2\left(x+2\right)^2\ -\ 2$

 

• Vertex:   $\left(2,\ 2\right)$  
  y-intercept:   $\left(0,\ 8\right)$  

• Vertex:   $\left(-2,\ -2\right)$  
  y-intercept:   $\left(0,\ 6\right)$  

• Vertex:   $\left(2,\ -2\right)\$  
  y-intercept:   $\left(0,\ 6\right)$  

• Vertex:   $\left(-2,\ 2\right)$  
  y-intercept:   $\left(0,\ 2\right)$  

Write the equation of the given quadratic function in vertex form.

• $y\ =\ -\left(x\ -\ 3\right)^2\ +\ 3$

• $y\ =\ \left(x+3\right)^2\ -\ 3$

• $y\ =\ -\left(x\ -\ 3\right)^2\ -\ 3$

• $y\ =\ -\left(x\ +\ 3\right)^2\ -\ 3$

Which graph represents the function  
 $f\left(x\right)\ =\ 4\sqrt{x-2}\ -\ 3$  

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Tags

CCSS.HSF-IF.C.7B