Quiz about Functions Competency Assessment

Question 1

Let $$f\left(x\right)\ =\ 3x^{2\ }-2x\ +5$$ . Which of the following represents $$f\left(a+1\right)$$ ?

Accepted Answer

$$3a^2+4a\ +6$$

Answer

$$3a^2-2a+6$$

Answer

$$3a^2+6a+8$$

Answer

$$3a^2+4a+8$$

Question 2

The graph of a function passes through the points (0,4), (1,2), and (2,0). Which equation could represent the function?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 3

If $$f\left(x\right)\ =\ \frac{x-3}{2}$$ , what is $$f^{-1}\left(x\right)$$ ?

Accepted Answer

Answer

Answer

$$\frac{x+3}{2}$$

Answer

$$\frac{x}{2}+3$$

Question 4

Given the function in the picture, which of the following statements are true?

Accepted Answer

$$f\left(-3\right)=-5$$

Accepted Answer

$$f\left(2\right)\ =\ 4$$

Accepted Answer

The function is discontinuous at $$x=0$$

Answer

$$f\left(0\right)=1$$

Answer

$$f\left(-1\right)=-2$$

Question 5

Which transformation maps $$f\left(x\right)\ =\ x^2$$ to $$g\left(x\right)\ =\ -\left(x-3\right)^{2\ }+2$$ ?

Accepted Answer

Reflect over x-axis, shift right 3, up 2

Answer

Reflect over y-axis, shift left 3, down 2

Answer

Shift right 3, reflect over y-axis, up 2

Answer

Reflect over x-axis, shift left 3, up 2

Question 6

Which of the following functions is neither even nor odd?

Accepted Answer

$$f\left(x\right)\ =\ x^{3\ }+1$$

Answer

$$f\left(x\right)\ =\ x^3$$

Answer

$$f\left(x\right)\ =\ x^2$$

Answer

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

Functions Competency Assessment