Free Printable PRG Gr 11 Trig Grafieke/ Trig Graphs

1.

$f\left(x\right)=\ \sin3x,\ \ g\left(x\right)\ =\ 3\ \sin\ x\$
$h\left(x\right)\ =\ \sin\ x\ +\ 3,\ p\left(x\right)\ =\ -3\ \sin\ x$
Watter grafiek(e) het 'n amplitude van 3?
Which graph(s) has an amplitude of 3?

a)

f

b)

g

c)

h

d)

p

e)

g en p

2.

$f\left(x\right)=\ \sin3x,\ \ g\left(x\right)\ =\ 3\ \sin\ x\$
$h\left(x\right)\ =\ \sin\ x\ +\ 3,\ p\left(x\right)\ =\ -3\ \sin\ x$
Watter grafiek(e) het 'n periode van 3?
Which graph(s) has a period of 3?

a)

f

b)

g

c)

nie een/ none

d)

p

e)

f en/ and p

3.

$f\left(x\right)=\ \sin3x,\ \ g\left(x\right)\ =\ 3\ \sin\ x\$
$h\left(x\right)\ =\ \sin\ x\ +\ 3,\ p\left(x\right)\ =\ -3\ \sin\ x$
Watter grafiek het 'n y afsnit van 3?
Which graph has a y-intercept of 3?

a)

f

b)

g

c)

h

d)

p

e)

f en/ and p

4.

$f\left(x\right)=\ \sin3x,\ \ g\left(x\right)\ =\ 3\ \sin\ x\$
$h\left(x\right)\ =\ \sin\ x\ +\ 3,\ p\left(x\right)\ =\ -3\ \sin\ x$
Watter grafiek het gaan deur die punt $\left(90\degree;-1\right)$ ?
Which graphs goes through the point $\left(90\degree;-1\right)$ ?

a)

f

b)

g

c)

h

d)

p

e)

f en p

5.

$f\left(x\right)=\ \sin3x,\ \ g\left(x\right)\ =\ 3\ \sin\ x\$
$h\left(x\right)\ =\ \sin\ x\ +\ 3,\ p\left(x\right)\ =\ -3\ \sin\ x$
Watter grafiek het 'n periode van 120 grade?
Which graph has a period of 120 degrees?

a)

f

b)

g

c)

h

d)

p

6.

$y=\sin\left(2x-60\degree\right)$
Watter beskrywing pas?
Which description fits?

a)

The graph of $y=\sin2x$ has a period of 360 degrees and is shifted 30 degrees to the right.
Die grafiek van $y=\sin2x$ het 'n periode van 360 grade en is 30 grade na regs geskuif.

b)

The graph of $y=\sin2x$ has a period of 180 degrees and is shifted 30 degrees to the right.
Die grafiek van $y=\sin\ 2x$ het 'n periode van 180 grade en is 30 grade na regs geskuif.

c)

The graph of $y=\sin2x$ has a period of 180 degrees and is shifted 60 degrees to the right.
Die grafiek van $y=\sin2x$ het 'n periode van 180 grade en is 60 grade na regs geskuif.

d)

The graph of $y=\sin2x$ has a period of 180 degrees and is shifted 30 degrees to the left. Die grafiek van $y=\sin2x$ het 'n periode van 180 grade en is 30 grade na links geskuif.

7.

$y=\ \sin\frac{1}{2}x\ -3$

Wat is die periode van hierdie grafiek?
What is the period of this graph?

a)

$360\degree$

b)

$180\degree$

c)

$3$

d)

$\frac{1}{2}$

e)

$720\degree$

8.

$y=\ \sin\ \left(x+\ 90\degree\right)$ is dieselfde grafiek as / is the same graph as:

a)

$y=\sin\ \left(x-90\degree\right)$

b)

$y=\cos\ x$

c)

$y=\cos\ \left(x-90\degree\right)$

9.

$y=\tan\ 2x$

Wat is die periode van hierdie grafiek? What is the period of this graph?

a)

$2$

b)

$180\degree$

c)

$90\degree$

d)

$360\degree$

10.

$y=-\tan\ x\ +5$
Wat is die y-koordinaat as $x\ =\ 45\degree$ ?
What is the y-co-ordinate if $x=\ 45\degree$ ?

a)

$1$

b)

$-1$

c)

$5$

d)

$-5$

e)

$4$

11.

$y=\tan\ 2x$
Watter een is 'n asimptoot van die grafiek?
Which one is an asimptote of this graph?

a)

$x=\ 45\degree$

b)

$x=90$

c)

$x=\ 180$

12.

$x=60$ is 'n asimptoot van: / is an asymptote of:

a)

$y=\tan\ \left(x-60\degree\right)$

b)

$y=\tan\ \left(x+30\degree\right)$

c)

$y=\tan\left(x+45\degree\right)$

13.

$y=-4\cos\ x+7$

Die maksimum waarde van hierdie grafiek is:
The maximum value of this graph is:

a)

$y=7$

b)

$x=11$

c)

$\ y=4$

d)

$y=11$

e)

$y=3$

14.

$y=\sin\left(x-30\degree\right)$

Die refleksie van hierdie grafiek in die x- as is:

The reflection of this graph in the x-axis is:

a)

$y=\sin\left(x+\ 30\degree\right)$

b)

$y=-\sin\left(x-30\degree\right)$

c)

$y=-\sin\left(x+30\degree\right)$

15.

$f\left(x\right)=2\tan x\ -3$
Die periode van $f\left(3x\right)$ is:
The period of $f\left(3x\right)$ is:

a)

$180\degree$

b)

$540\degree$

c)

$360\degree$

d)

$120\degree$

e)

$60\degree$

16.

Die vergelyking van hierdie grafiek is:
The equation of this graph is:

a)

$y=\sin\left(\ x-30\degree\right)$

b)

$y=\sin\ \left(\ x+30\degree\right)$

c)

$y=-\sin\left(x+30\degree\right)$

d)

$y=-\cos\left(x+30\degree\right)$

e)

$y=-\sin x\ -1$

17.

Die vergelyking van hierdie grafiek is:
The equation of this graph is:

a)

$y=3\sin x$

b)

$y=\cos3x\ or\ y=\sin\ \left(3x-30\degree\right)$

c)

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

d)

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

e)

$y=\cos\left(x-30\degree\right)of\ y=\sin\ 3x$

18.

$f\left(x\right)\ =-\sin x\ \ \ \ \ \ g\left(x\right)\ =\ \cos2x$
Waar is / Where is $f\left(x\right)\ \ge\ g\left(x\right)\ if\ as\ x\in\left[0\ ;\ 210\degree\right)?$

a)

$180\degree\le x\ <210\degree$

b)

$0\le x<210\degree$

c)

$0<x\le210\degree$

d)

$x=90\degree$

e)

$x=90\degree\ or\ of\ x=210\degree$

19.

$f\left(x\right)=4\cos3x\ ,\ \ \ g\left(x\right)\ =\ 4\sin2x$
$h\left(x\right)\ =\ 4\ \tan4x$
Watter grafiek het die grootste periode?
Which graph has the largest period?

a)

f

b)

g

c)

h

d)

Almal het dieselfde periode/ All have the same period

20.

$f\left(x\right)=3\tan\ x,\ \ g\left(x\right)\ =\ -6\tan\left(x\right)$

Watter bewering is vals?

Which statement is false?

a)

Beide het dieselfde periodes.
Both have the same period.

b)

Beide het dieselfde asimptote
Both have the same asymptotes

c)

Die amplitude van f is groter as die van g.
The amplitude of f is larger than that of g.

d)

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

PRG Gr 11 Trig Grafieke/ Trig Graphs

Total questions: 20

Worksheet time: 20mins

Similar Resources on Wayground