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Worksheetsgen math
Total questions: 29
Worksheet time: 29mins
It is a line or a curve that the graph of a function gets close to but does not touch.
RATIONAL FUNCTION
RATIONAL EQUATION
ASYMPTOTE
PIECEWISE FUNCTION
It is the ratio of two polynomial functions where the denominator is not a zero polynomial.
RATIONAL INEQUALITY
RATIONAL FUNCTION
RATIONAL EQUATION
RATIONAL EXPONENTIAL
is defined by two or more equations where each equations applies to a certain interval over a specified domain.
PIECEWISE FUNCTION
ASYMPTOTE
FUNCTION
RELATION
It is an equation involving rational expressions.
EXPONENTIAL FUNCTION
FUNCTION
RATIONAL FUNCTION
RATIONAL EQUATION
f(x) = 3x - 2
g(x) = x2 + 2x -3
what is f x g (x)
2x2−2
3x3+4x2−13x+6
x2+5x−5
(x+3)(x−1)3x−2
f(x)= 2x2 +x−3
g(x) = x - 1
x2+5x−5
x=65
x=2
2x2−2
s=td
A car has traveled a distance of 42(km) in 3 hours. Find the speed of the car.
510km/h
3h42km
14km/h
20km/h
5x+41=2x
x=65
x=23
x=−65
x=−23
The velocity (in m/s) of free-falling object as a function of the height (m) from which is dropped is v(h) = (9.8)(2)(h) . Ignoring the air resistance, at what height should you drop a watermelon if you want to hit the ground at 100m/s?
10,000 h
100 h
19.6 h
510.20 h
2x=2x − 3 solve for x
x = -2
x = 7
x = 2
x = -5
It is an inequality involving rational expression
Rational Inequality
Rational Expression
Rational Function
Rational Equation
f(x) = 2x+3
f(2)
7
-8
-5
3
f(x)=2x−36x−1
find the vertical and horizontal asymptote
VA x=32 HA y=3
VA x=23 HA y=2
VA x=−32 HA y=−3
VA x=23 HA y=3
x+3x2−1>0
x<1
x<0
x<0
x>1
y+13(y+3)+2=y+13y+1
y=6
y=5
y=3
y=4
is one in which a variable occurs in the exponent.
Exponential Inequalities
Exponential Function
Exponential Equation
Inequalities Expression
is an inequality involving exponential functions.
Exponential Functions
Exponential Inequalities
Exponential Expression
Exponential Equations
The quantity decreases slowly after which the rate of change and the rate of growth decreases over a period of time rapidly.
EXPONENTIAL GROWTH
EXPONENTIAL DECAY
Exponential Functions
Exponential variable
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?
2,384.19
89,542.38
13,181.63
403,896.78
A bacteria grows at a rate of 25% each day. There are 500 bacteria today. How many will there be one week from now?
625
2,384.19
403,896.78
89,542.38
It is also known as a split function.
Function
Piecewise Function
Diagram
Domain
A graph represents a function if and only if each vertical line intersects the graph at most once.
Graph
Domain
Relation
Function
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)?
e = 11 mm
e = 9 mm
e = 3 mm
e = 13 mm
x−52x−5≤3
x≤4, x≥10
x≤5, x≥11
x≤5, x≥10
x<5, x>10
is all the values of x that will not make q(x) equal to zero.
Domain
x-intercept
y-intercept
Vertical Asymptote:
are also known as x-intercepts, solutions or roots of functions.
Domain
Vertical Asymptote
Zeroes
Intercepts
are x or y coordinates of the
points at which a graph crosses the x-axis
or y-axis, respectively.
Domain
Asymptote
Intercept
Zeroes
73x+2≤49x
(−2,−∞)
(∞,2)
(−∞,−2)
(2,∞)
(53)x+2≥925
[−∞,−3]
[−∞,−3)
(−∞,−3)
(−∞,−3]
