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Worksheets

gen math

Total questions: 29

Worksheet time: 29mins

Name
Class
Date
1.

It is a line or a curve that the graph of a function gets close to but does not touch.

a)

RATIONAL FUNCTION

b)

RATIONAL EQUATION

c)

ASYMPTOTE

d)

PIECEWISE FUNCTION

2.

It is the ratio of two polynomial functions where the denominator is not a zero polynomial.

a)

RATIONAL INEQUALITY

b)

RATIONAL FUNCTION

c)

RATIONAL EQUATION

d)

RATIONAL EXPONENTIAL

3.

is defined by two or more equations where each equations applies to a certain interval over a specified domain.

a)

PIECEWISE FUNCTION

b)

ASYMPTOTE

c)

FUNCTION

d)

RELATION

4.

It is an equation involving rational expressions.

a)

EXPONENTIAL FUNCTION

b)

FUNCTION

c)

RATIONAL FUNCTION

d)

RATIONAL EQUATION

5.

f(x) = 3x - 2
g(x) =  x2x^2  + 2x -3 
what is f x g (x)

a)

 2x222x^2-2  

b)

 3x3+4x213x+63x^3+4x^2-13x+6  

c)

 x2+5x5x^2+5x-5  

d)

 3x2(x+3)(x1)\frac{3x-2}{\left(x+3\right)\left(x-1\right)}  

6.

f(x)= 2x2 +x32x^2\ +x_{ }-3  

g(x) = x - 1

a)

 x2+5x5x^2+5x-5  

b)

 x=56x=\frac{5}{6}  

c)

x=2

d)

 2x222x^2-2  

7.

 s=dts=\frac{d}{t}  

A car has traveled a distance of 42(km) in 3 hours. Find the speed of the car.

a)

510km/h

b)

 42km3h\frac{42km}{3h}  

c)

14km/h

d)

20km/h

8.

 x5+14=x2\frac{x}{5}+\frac{1}{4}=\frac{x}{2}  

a)

 x=56x=\frac{5}{6}  

b)

 x=32x=\frac{3}{2}  

c)

 x=56x=-\frac{5}{6}  

d)

 x=32x=-\frac{3}{2}  

9.

The velocity (in m/s) of free-falling object as a function of the height (m) from which is dropped is v(h) = \sqrt{\left(9.8\right)\left(2\right)\left(h\right)} . Ignoring the air resistance, at what height should you drop a watermelon if you want to hit the ground at 100m/s?

a)

10,000 h

b)

100 h

c)

19.6 h

d)

510.20 h

10.

 x2=2x  3 solve for x\frac{x}{2}=2x\ -\ 3\ solve\ for\ x  

a)

x = -2

b)

x = 7

c)

x = 2

d)

x = -5

11.

It is an inequality involving rational expression

a)

Rational Inequality

b)

Rational Expression

c)

Rational Function

d)

Rational Equation

12.

 f(x) =  2x+3f\left(x\right)\ =\ \ 2x+3  
f(2)

a)

7

b)

-8

c)

-5

d)

3

13.

 f(x)=6x12x3f\left(x\right)=\frac{6x-1}{2x-3}  

find the vertical and horizontal asymptote

a)

 VA x=23 HA y=3VA\ x=\frac{2}{3}\ HA\ y=3  

b)

 VA x=32 HA y=2VA\ x=\frac{3}{2}\ HA\ y=2  

c)

 VA x=23 HA y=3VA\ x=-\frac{2}{3}\ HA\ y=-3  

d)

 VA x=32 HA y=3VA\ x=\frac{3}{2}\ HA\ y=3  

14.

 x21x+3>0\frac{x^2-1}{x+3}>0  

a)

x<1

b)

x<0

c)

x<0

d)

x>1

15.

 3(y+3)y+1+2=3y+1y+1\frac{3\left(y+3\right)}{y+1}+2=\frac{3y+1}{y+1}  

a)

y=6

b)

y=5

c)

y=3

d)

y=4

16.

is one in which a variable occurs in the exponent.

a)

Exponential Inequalities

b)

Exponential Function

c)

Exponential Equation

d)

Inequalities Expression

17.

is an inequality involving exponential functions.

a)

Exponential Functions

b)

Exponential Inequalities

c)

Exponential Expression

d)

Exponential Equations

18.

The quantity decreases slowly after which the rate of change and the rate of growth decreases over a period of time rapidly.

a)

EXPONENTIAL GROWTH

b)

EXPONENTIAL DECAY

c)

Exponential Functions

d)

Exponential variable

19.

Chris bought a new car for $20,000. The value of the car decreases exponentially (depreciates) at a rate of 8% per year. Then what is the value of the car after 5 years?

a)

2,384.19

b)

89,542.38

c)

13,181.63

d)

403,896.78

20.

A bacteria grows at a rate of 25% each day. There are 500 bacteria today. How many will there be one week from now?

a)

625

b)

2,384.19

c)

403,896.78

d)

89,542.38

21.

It is also known as a split function.

a)

Function

b)

Piecewise Function

c)

Diagram

d)

Domain

22.

A graph represents a function if and only if each vertical line intersects the graph at most once.

a)

Graph

b)

Domain

c)

Relation

d)

Function

23.

The volume v of a cube is defined by

the function V = e^3, where e is the length of an edge. What must be the length of an edge of a cube if its volume is 2 197 cubic millimeters (mm3)?

a)

e = 11 mm

b)

e = 9 mm

c)

e = 3 mm

d)

e = 13 mm

24.

 2x5x53\frac{2x-5}{x-5}\le3  

a)

 x4, x10x\le4,\ x\ge10  

b)

 x5, x11x\le5,\ x\ge11  

c)

 x5, x10x\le5,\ x\ge10  

d)

 x<5, x>10x<5,\ x>10  

25.

is all the values of x that will not make q(x) equal to zero.

a)

Domain

b)

x-intercept

c)

y-intercept

d)

Vertical Asymptote:

26.

are also known as x-intercepts, solutions or roots of functions.

a)

Domain

b)

Vertical Asymptote

c)

Zeroes

d)

Intercepts

27.

are x or y coordinates of the

points at which a graph crosses the x-axis

or y-axis, respectively.

a)

Domain

b)

Asymptote

c)

Intercept

d)

Zeroes

28.

 73x+249x7^{3x^+2}\le49^x  

a)

 (2,)\left(-2,-\infty\right)  

b)

 (,2)\left(\infty,2\right)  

c)

 (,2)\left(-\infty,-2\right)  

d)

 (2,)\left(2,\infty\right)  

29.

 (35)x+2259\left(\frac{3}{5}\right)^{x^+2}\ge\frac{25}{9}  

a)

 [,3]\left[-\infty,-3\right]  

b)

 [,3)\left[-\infty,-3\right)  

c)

 (,3)\left(-\infty,-3\right)  

d)

 (,3]\left(-\infty,-3\right]