Free Printable A gallery of graphs

1.

Which relation could have this graph?

a)

$y=2x+1$

b)

$x=2y-1$

c)

$y=x$

d)

$y=2x$

2.

Which relation could have this graph?

a)

$y=-2x$

b)

$y=-x-2$

c)

$y=2x-2$

d)

$y=-2+x$

3.

Which relation could have this graph?

a)

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

b)

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

c)

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

d)

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

4.

Which relation could have this graph?

a)

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

b)

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

c)

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

d)

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

5.

Which relation could have this graph?

a)

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

b)

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

c)

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

d)

$y=2e^x-1$

6.

Which relation could have this graph?

a)

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

b)

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

c)

$y=x^4+2$

d)

$y=-x^2$

7.

Which relation could have this graph?

a)

$y=\sqrt{x}$

b)

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

c)

$y=e^x-1$

d)

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

8.

Which relation could have this graph?

a)

$y=x^2+2$

b)

$y=-e^x-2$

c)

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

d)

$y=\sqrt{x-2}$

9.

Which relation could have this graph?

a)

$x=y^2-3$

b)

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

c)

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

d)

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

10.

Which relation could have this graph?

a)

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

b)

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

c)

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

d)

$y=2^x$

11.

Which relation could have this graph?

a)

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

b)

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

c)

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

d)

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

12.

Which relation could have this graph?

a)

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

b)

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

c)

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

d)

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

13.

Which relation could have this graph?

a)

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

b)

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

c)

$y=e^x-1$

d)

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

14.

Which relation could have this graph?

a)

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

b)

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

c)

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

d)

$y=x^3-x$

15.

Which relation could have this graph?

a)

$y=-2^x$

b)

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

c)

$y=-\ln e^x$

d)

$y=-x^2$

16.

Which relation could have this graph?

a)

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

b)

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

c)

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

d)

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

17.

a)

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

b)

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

c)

$x^2+y^2=4$

d)

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

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

a)

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

b)

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

c)

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

d)

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

19.

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

a)

$y=x$

b)

$y=-x$

c)

$\left(0,0\right)$

d)

The x-axis

20.

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

a)

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

b)

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

c)

R\{-3}

d)

R

A gallery of graphs

Total questions: 20

Worksheet time: 3mins

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