Quiz about Determining Functions from Graphs

Question 1

Is it a function?

Accepted Answer

Yes

Answer

No

Question 2

Is it a function?

Accepted Answer

Yes

Answer

No

Question 3

Is it a function?

Accepted Answer

No

Answer

Yes

Question 4

Is it a function?

Accepted Answer

No

Answer

Yes

Question 5

Using a vertical line test, which of the following graph is NOT a function?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 6

Which of the following is TRUE?

Accepted Answer

All functions are relation.

Answer

All relations are function.

Answer

Vertical line can intersect the graph of a function by at most 2 points.

Answer

Among the 3 types of function, 2 of them are relations.

Question 7

Which is the equation of the graph shown?

Accepted Answer

$$f\left(x\right)=2\left|x-3\right|-2$$

Answer

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

Answer

$$f\left(x\right)=\left(x-3\right)^{2\ }-2$$

Answer

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

Question 8

Identify the type of function shown on the graph.

Accepted Answer

Cube Root Function

Answer

Quadratic Function

Answer

Cubic Function

Answer

Square Root Function

Question 9

Identify the type of function

Accepted Answer

Linear

Answer

Constant

Answer

Exponential

Answer

Quadratic

Question 10

Which is the equation of the graph?

Accepted Answer

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

Answer

$$f\left(x\right)=x^{3\ }-4$$

Answer

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

Answer

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

Question 11

Which of the following is a linear function?

Accepted Answer

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

Answer

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

Answer

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

Answer

$$f\left(x\right)=\left|x\right|$$

Question 12

What is the domain?

Accepted Answer

$$\left[1,\infty\right)$$

Answer

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

Answer

$$\left(-\infty,\infty\right)$$

Answer

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

Question 13

What is the range ?

Accepted Answer

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

Answer

$$\left(-\infty,\infty\right)$$

Answer

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

Answer

$$\left[-3,\infty\right)$$

Question 14

Which of the following shows a quadratic function with a reflection, translated 1 unit up, and translated 1 unit to the right?

Accepted Answer

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

Answer

$$f\left(x\right)=\left(x-1\right)^{2\ }+1$$

Answer

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

Answer

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

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