Free Printable PRG Gr 11 Hyperbola / Exponential function/ Quiz 1

1.

What type of graph is this?

Watter tipe grafiek is dit?

a)

Hyperbola/ Hiperbool

b)

Exponential/ Exponensieel

c)

Linear function/ lineêre funksie

d)

Parabola/Parabool

2.

What type of graph is this?/ Watter tipe grafiek is dit?

a)

Hyperbola/ Hiperbool

b)

Exponential/ eksponensieel

c)

Linear function/ Lineêre funksie

d)

Parabola/ Parabool

3.

Gegee/ Given: $y=3^x\ -2$
What is the y-intercept? Wat is die y-afsnit?

a)

$-1$

b)

$0$

c)

$1$

d)

$-2$

4.

The hyperbola $y=-\frac{5}{x}$ is located in which quadrants?
In watter kwadrante is hierdie hiperbool?

a)

1st only/ slegs die 1ste

b)

All quadrants/alle kwadrante

c)

1st and 3rd/ 1 ste en 3de

d)

2nd and 4th/ 2 de en 4 de

5.

$y=\left(\frac{1}{2}\right)^x-4$ Given/ Gegee: What is the range? Wat is die waardeversameling ?

a)

$x>-4$

b)

$y\in R$

c)

$y\ge-4$

d)

$y>-4$

e)

$x<-4$

6.

Given / Gegee: $y=5^{-x\ }+1$ What is the domain ? / Wat is die definisieversameling ?

a)

$y\in R$

b)

$x\in R$

c)

x > 1

d)

y > 1

e)

$x\ge1$

7.

Gegee/ Given: $y=3^{x\ }-2$ What is the equation of the asimptote?/ Wat is die vergelyking van die asimptoot?

a)

y = 0

b)

y = -2

c)

x = 0

d)

x = -2

8.

Gegee/ Given: $y=3^x\ -3$
What are the coordinates of the x-intercept? Wat is die koordinate van die x-afsnit?

a)

$x=3$

b)

$x=1$

c)

$\left(0;1\right)$

d)

$\left(1;0\right)$

9.

Given/Gegee: $y=\frac{3}{x-2}+4$
Give the equation of the horizontal asymptote / Gee die vergelyking van die horisontale asimptoot:

a)

x = 4

b)

x = 2

c)

y = 4

d)

y = 2

10.

Given/Gegee: $y=\frac{3}{x-2}+4$
Give the equation of the axes of symmetry with a positive gradient / Gee die vergelyking van die simmetrie -as met 'n positiewe gradient :

a)

y = -x + 2

b)

y = x+ 2

c)

y = x

d)

y = x + 6

11.

$y=\ \frac{2}{x-3}-4$ is given/ is gegee.

Give the domain / Gee die definisieversameling.

a)

$x\in R$

b)

$x\in R,\ x\ne3$

c)

$x\in R,\ x\ne-3$

d)

$y\in R,\ y\ne-4$

e)

$y\in R,\ y\ne3$

12.

Given/ Gegee: $y=a.2^{-x\ }-2$ Determine the value of a in this graph/ Wat is die waarde van a in hierdie grafiek?

a)

a= 1

b)

a = -1

c)

a = 2

d)

a = -2

13.

Given/Gegee: $y=\frac{3}{x-2}+4$
Give the point where the axes of simmetry intersect / Gee die punt waar die simmetrie-asse sny:

a)

(-2;4)

b)

(4;-2)

c)

(2;4)

d)

(2;-4)

14.

Given/Gegee: $y=\frac{-9}{x+2}-4$
Give the coordinates of the two points on the hyperbola that are closest to the point of intersection of the symmetry axes /Gee die koordinate van twee punte op die hiperbool wat naaste is aan die snypunt van die simmetrie-asse.

a)

(-3;3) / ( 3;-3)

b)

(-1;-1) / (5;-7)

c)

(-5;-1) / ( 1;-7)

15.

What is the equation of this graph?/ Wat is die vergelyking van hiedie grafiek?

a)

$y=\frac{-6}{x-1\ }+\ 2$

b)

$y=\frac{6}{x+1}+2$

c)

$y=\frac{6}{x-1}+2$

d)

$y=\frac{6}{x+1}-2$

16.

$f\left(x\right)\ =\ \frac{4}{x\ +\ 2}\ ,\ g\left(x\right)\ =\ \frac{4}{x-3}$

Describe the transformation from f to g./ Beskryf die translasie van f na g.

a)

An horisontal shift 5 units to the right/ 'n Horisontale skuif 5 eenhede na regs

b)

A vertical shift 5 units upwards/ 'n vertikale skuif 5 eenhede opwaarts

c)

An horisontal shift 5 units downwards/ 'n Horisontale skuif 5 eenhede ondertoe

d)

An horisontal shift 5 units to the left/ 'n Horisontale skuif 5 eenhede na links

17.

$f\left(x\right)\ =\ \frac{4}{x\ +\ 2}\ +\ 3\ ,\ g\left(x\right)\ =\ \frac{4}{x\ +\ 2}\ -2$
Describe the transformation from f to g./ Beskryf die translasie van f na g

a)

An horisontal shift 5 units to the right/ 'n Horisontale skuif 5 eenhede na regs

b)

A vertical shift 5 units upwards/ 'n Horisontale skuif twee eenhede opwaarts

c)

An vertical shift 5 units downwards/ 'n vertikale skuif 5 eenhede ondertoe

d)

An horisontal shift 5 units to the left/ 'n Horisontale skuif 5 eenhede na links

18.

Complete: If x → -∞ , then f(x) → ?
Voltooi: as : If x → -∞ , then f(x) → ?
[ $\rightarrow$ means " tends to" / Beteken 'neig na"]

a)

-4

b)

-3

c)

∞

d)

-∞

19.

$f\left(x\right)\ =\ 3.\left(\frac{1}{3}\right)^x\ \ \ \ \ g\left(x\right)\ =\ 3.\left(3\right)^{-x}\ \ \ h\left(x\right)\ =\ \frac{1}{3}.\left(3\right)^x$ Which statement is waar?/ Watter bewering is true?

a)

g and h represent identical graphs / g en h stel identiese grafieke voor

b)

g an h are reflections of each other in the y- axis/ g en h is refleksies van mekaar in die y - as.

c)

h is an decreasing graph / h is 'n dalende grafiek

d)

f can be written as $f\left(x\ \right)=\ 3^{\left(1-x\right)}$ / f kan geskyf word as $f\left(x\ \right)=\ 3^{\left(1-x\right)}$

20.

$f\left(x\right)\ =\ 2^x\ \ \ \ \ g\left(x\right)=\ 2^{\left(x-4\right)}\$
Which statement is wrong? Watter stelling is verkeerd?

a)

g is a translation of f four units to the right/ g is 'n translasie van g 4 eenhede na regs.

b)

g can be written as:/g kan geskryf word as

c)

$g\left(x\right)\ =\ \frac{1}{16.}.2^x$

d)

The graph of g is more steep than the graph of f. Die grafiek van g is meer 'steil ' as die grafiek van f.

e)

Both graphs dont have an asymptote./ beide grafieke het nie 'n asimptoot nie.

PRG Gr 11 Hyperbola / Exponential function/ Quiz 1

Total questions: 20

Worksheet time: 14mins

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