Free Printable Graphs of Trigonometric Functions 2

1.

What's the range of $y=\csc x$ ?

a)

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

b)

$\left(-\infty,-1\right]\cup\left[1,\infty\right)$

c)

$\left(-\infty,-1\right)\cup\left(1,\infty\right)$

d)

$\left[-1,1\right]$

2.

What's the range of $y=\csc x$ ?

a)

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

b)

$\left(-\infty,-1\right]\cup\left[1,\infty\right)$

c)

$\left(-\infty,-1\right)\cup\left(1,\infty\right)$

d)

$\left[-1,1\right]$

3.

What's the range of $y=\cot x$ ?

a)

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

b)

$\left(-\infty,-1\right]\cup\left[1,\infty\right)$

c)

$\left(-\infty,-1\right)\cup\left(1,\infty\right)$

d)

$\left[-1,1\right]$

4.

Which function below describes only the following transformations?

Left π/2

Period: π

a)

$y=\csc2(x+\frac{π}{2})$

b)

$y=2\sec(x+\frac{π}{2})$

c)

$y=\tan\frac{π}{2}(x+2)$

d)

$y=2-\csc(x+\frac{π}{2})$

5.

Which function below describes only the following transformations?

Reflection over x-axis

Down 2

Period: 2π/3

Amplitude: 2

a)

$y=\cot3x+2$

b)

$y=-3\cos2(x-2)$

c)

$y=-2-2\csc3x$

d)

$y=\sec2(x+\frac{2π}{3})+2$

6.

Which parent function is shown?

a)

$y=\tan x$

b)

$y=\sin x$

c)

$y=\csc x$

d)

$y=\sec x$

7.

Determine an equation for this graph:

a)

$y=\sec x$

b)

$y=2\sec x$

c)

$y=2\csc x$

d)

$y=\csc2x$

8.

Which function below matches this graph?

a)

$y=\sec2x$

b)

$y=\sec x$

c)

$y=\csc2x$

d)

$y=2-\sec x$

9.

Which function below matches this graph?

a)

$y=1-\csc x$

b)

$y=\csc x$

c)

$y=-\csc x$

d)

$y=1+\csc x$

10.

Which function below matches this graph?

a)

$y=2+\sec x$

b)

$y=\sec2x$

c)

$y=2\sec x$

d)

$y=\sec(x-2)$

Graphs of Trigonometric Functions 2

Total questions: 10

Worksheet time: 3hrs 30mins

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