Math Nation Section 8 Topic 8 CFU

Determine the equation for the graph.

• $y=2\sqrt{x}-4$

• $y=-\sqrt{x-4}$

• $y=2\sqrt{x}$

• $y=2\sqrt{x}+4$

What is the domain of the function in this graph?

• $x\le3$

• $x\ge3$

• $x\le0$

• $x\ge0$

What is the range of the function in this graph?

• $y\le3$

• $y\ge3$

• $y\le0$

• $y\ge0$

Compare the graph of g(x) and f(x). Select all that apply

• Both graphs have a domain of $x\ge0$

• Domain of f(x) is all real numbers

• Domain of g(x) is $x\ge0$

• Range of both graphs is $y\ge5$

• Range of f(x) is all real numbers

What kind of function is represented by the graph?

• Cube Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Describe the transformation of the graph  y = (x)³  + 6

• Right 6
• Left 6
• Up 6
• Down 6

The graph of a function is shown. What are the domain and range of this function?

• Domain: all real numbers
  Range: $y\ \le-2$

• Domain: $x\ge2$
  Range: all real numbers

• all real numbers for both

• Domain: $x\le2$
  Range: $y\ge2$

The function of f(x) is graphed above. What are the zeros of the function?

• 0, -3

• 4, -3, 1

• -3, -2, 0, 1

• 1, 0, -4

Which equation best represents the function graphed?

• $\left(x+3\right)\left(x-1\right)$

• $x^2\left(x+2\right)\left(x+3\right)\left(x-1\right)$
  

• $\left(x+2\right)\left(x+3\right)\left(x-1\right)$
  

• $x^2\left(x-2\right)\left(x-3\right)\left(x+1\right)$
  

 $g\left(x\right)\ =\left(x^2-1\right)\left(x+3\right)$  

Find the zeros of the function:

• -1, 0, 1, 3

• -1, 1, 3

• -3, -1, 1