Quiz about 3.2.4 Quiz Review (Review B)

Question 1

Which of the following describes how to transform the coordinates of an ordered pair when reflecting a graph across the y-axis?

Accepted Answer

$$\left(x,\ y\right)\ \rightarrow\ \left(-x,\ y\right)$$

Answer

$$\left(x,y\right)\ \rightarrow\ \left(x,\ -y\right)$$

Answer

$$\left(x,\ y\right)\ \rightarrow\ \left(y,\ x\right)$$

Answer

$$\left(x,\ y\right)\ \rightarrow\ \left(-x,\ -y\right)$$

Question 2

The graph of function f is shown. If g(x)=-f(x), which of the following points must lie on the graph of g?

Select all that apply.

Accepted Answer

(-1.12, 2.029)

Accepted Answer

(-2, 0)

Answer

(-1.12, -2.029)

Answer

(1.786, 4.104)

Question 3

The graphs of two functions, f and g, are shown. Function g is a transformation of f. Which equation expresses g(x) in terms of f(x)?

Accepted Answer

$$g\left(x\right)=-f\left(x\right)$$

Answer

$$g\left(x\right)=f\left(-x\right)$$

Answer

$$g\left(x\right)=-f\left(-x\right)$$

Answer

$$g\left(x\right)=f\left(x\right)-1$$

Question 4

The graph of a function, f(x) is shown. If $$g\left(x\right)=-f\left(x\right)$$ , what is the range of g(x)?

Accepted Answer

$$\left(-\infty,\ -2\right]$$

Answer

$$\left(-\infty,\ 0\right]$$

Answer

$$\left[0,\ \infty\right)$$

Answer

$$\left[-2,\ \infty\right)$$

Question 5

Given that function f is symmetric with respect to the y-axis, which of the following statements must be true? Select all that apply.

Accepted Answer

If $$f\left(2\right)=4$$ , then $$f\left(-2\right)=4$$

Accepted Answer

Function f is an even function

Answer

Function f is an odd function

Answer

If $$f\left(-1\right)=2$$ , then $$f\left(-2\right)=1$$

Question 6

Half of the graph of $$f\left(x\right)=x^5-5x$$ is shown. If you were to complete the graph of f, which points would lie on the completed graph?

Select all that apply.

Accepted Answer

(1, -4)

Accepted Answer

(-1, 4)

Accepted Answer

(1.495, 0)

Answer

(0, -1.495)

Answer

(0, 1.495)

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