Quiz about 10.2 Graph Square Root Functions

Question 1

Describe the transformations for the function $$f\left(x\right)\ =\ -3\sqrt[]{x}$$ .

Accepted Answer

The function is reflected over the x-axis and vertically stretched by a factor of 3.

Answer

The function is vertically stretched by a factor of 2 and shifted down by 1 unit.

Answer

The function is shifted to the right by 3 units and reflected over the x-axis.

Answer

The function is reflected over the y-axis and vertically compressed by a factor of 3.

Question 2

Describe the end behavior for the function $$f\left(x\right)\ =\ \frac{2}{5}\sqrt[]{x}\ +2$$ .

Accepted Answer

As x approaches infinity, f(x) approaches infinity; as x approaches 0, f(x) approaches 2.

Answer

As x approaches infinity, f(x) approaches 0; as x approaches 0, f(x) approaches 5.

Answer

As x approaches infinity, f(x) approaches 10; as x approaches 0, f(x) approaches 1.

Answer

As x approaches infinity, f(x) approaches 2; as x approaches 0, f(x) approaches infinity.

Question 3

Identify the domain and range of the function $$f\left(x\right)\ =\ 2\sqrt[]{x+5}-3$$ .

Accepted Answer

Domain: [-5, infinity)

Accepted Answer

Range: [-3, infinity)

Answer

Range: [2, infinity)

Answer

Domain: [3, infinity)

Question 4

Identify the graph for the function $$f\left(x\right)\ =\ \frac{1}{2}\sqrt[]{x+4}-3$$ .

Accepted Answer

<p></p>

Question 5

Describe the transformations in the function: $$f\left(x\right)\ =\ \frac{3}{4}\sqrt[]{x}$$ .

Accepted Answer

The function is vertically compressed by a factor of 3/4.

Answer

The function is vertically stretched by a factor of 4.

Answer

The function is reflected over the x-axis.

Answer

The function is shifted 3 units to the right.

10.2 Graph Square Root Functions