Quiz about A gallery of graphs

Question 1

Which relation could have this graph?

Accepted Answer

$$y=2x$$

Answer

$$y=2x+1$$

Answer

$$x=2y-1$$

Answer

$$y=x$$

Question 2

Which relation could have this graph?

Accepted Answer

$$y=-x-2$$

Answer

$$y=-2x$$

Answer

$$y=2x-2$$

Answer

$$y=-2+x$$

Question 3

Which relation could have this graph?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

Which relation could have this graph?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

Which relation could have this graph?

Accepted Answer

$$y=-\frac{1}{6}\left(x-3\right)\left(x+5\right)$$

Answer

$$\frac{1}{6}\left(x-3\right)\left(x+5\right)$$

Answer

$$y=-\left(x+3\right)\left(x-5\right)^2$$

Answer

$$y=2e^x-1$$

Question 6

Which relation could have this graph?

Accepted Answer

$$y=\frac{1}{4}x^3$$

Answer

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

Answer

$$y=x^4+2$$

Answer

$$y=-x^2$$

Question 7

Which relation could have this graph?

Accepted Answer

$$y=\sqrt{x}$$

Answer

$$y=\frac{1}{x-1}$$

Answer

$$y=e^x-1$$

Answer

$$y=\sqrt[3]{x}$$

Question 8

Which relation could have this graph?

Accepted Answer

$$y=-\sqrt{x-2}$$

Answer

$$y=x^2+2$$

Answer

$$y=-e^x-2$$

Answer

$$y=\sqrt{x-2}$$

Question 9

Which relation could have this graph?

Accepted Answer

$$y=\sqrt{2x+4}+3$$

Answer

$$x=y^2-3$$

Answer

$$y=e^{2+x}+3$$

Answer

$$y=\sqrt{2x-4}+3$$

Question 10

Which relation could have this graph?

Accepted Answer

$$y=\frac{1}{x}$$

Answer

$$y=\frac{10}{x}$$

Answer

$$y=\frac{1}{x^2}$$

Answer

$$y=2^x$$

Question 11

Which relation could have this graph?

Accepted Answer

$$y=\frac{1}{x+3}+1$$

Answer

$$y=\frac{1}{x-3}+1$$

Answer

$$y=\frac{1}{\left(x-3\right)^2}+1$$

Answer

$$y=\frac{1}{x+3}-1$$

Question 12

Which relation could have this graph?

Accepted Answer

$$y=-\frac{1}{x^2}+4$$

Answer

$$y=\frac{1}{x^2}+4$$

Answer

$$y=-\frac{1}{x^2}-4$$

Answer

$$y=-\frac{1}{x^{ }}+4$$

Question 13

Which relation could have this graph?

Accepted Answer

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

Answer

$$y=\log_e\left(x\right)$$

Answer

$$y=e^x-1$$

Answer

$$y=\frac{1}{x}$$

Question 14

Which relation could have this graph?

Accepted Answer

$$y=\ln\left(x+1\right)$$

Answer

$$y=\ln\left(x\right)$$

Answer

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

Answer

$$y=x^3-x$$

Question 15

Which relation could have this graph?

Accepted Answer

$$y=-2^x$$

Answer

$$y=\left(-2\right)^x$$

Answer

$$y=-\ln e^x$$

Answer

$$y=-x^2$$

Question 16

Which relation could have this graph?

Accepted Answer

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

Answer

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

Answer

$$\left(x+1\right)^2+y^2=0$$

Answer

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

Question 17

Question 17.

Accepted Answer

$$x=-\sqrt{4-y^2}$$

Answer

$$x=\sqrt{4-y^2}$$

Answer

$$x^2+y^2=4$$

Answer

$$y=\sqrt[]{4-x^2}$$

Question 18

The sequence of transformations will map the graph of $$y=e^x$$ onto ___?

1. a dilation of factor 8 from the x-axis

2. a reflection in the y-axis

3. a translation of 1 unit in the negative direction of the x-axis

Accepted Answer

$$y=8e^{-\left(x+1\right)}$$

Answer

$$y=8e^{-\left(x-1\right)}$$

Answer

$$y=-8e^{x+1}$$

Answer

$$y=8e^{-x}-1$$

Question 19

A function and its inverse function are symmetrical about which of the following?

Accepted Answer

$$y=x$$

Answer

$$y=-x$$

Answer

$$\left(0,0\right)$$

Answer

The x-axis

Question 20

The domain of $$f\left(x\right)=\frac{x}{\sqrt[]{2x+6}}$$ is

Accepted Answer

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

Answer

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

Answer

R\{-3}

Answer

R

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