Functions
Linear Functions
Evaluating/Interpreting Functions
Inequalities
Equations
100
Is the following a function? Explain.
No. It does not pass the vertical line test.
100
Is the following equation linear? Explain.
y=2x^2+7
No since it cannot be written in the form y=mx+b
100
Evaluate f(4) if f(x)=1/2x-3
f(4)=-1
100
Solve 2x-3>=5
x>=4
100
Solve 2x-3=13
x=8
200
Is the function continuous or discrete?
Is it increasing or decreasing?
It is discrete and decreasing
200
Find the slope between (-1,5) and (7,3)
m=-1/4
200
Find x such that f(x)=12 when f(x)=1/3x-5
x=51
200
Write "The quotient of a number x and 5 is at most 6" as an inequality
x/5<=6
200
How many solutions does x+3=x-3 have?
None
300
Is {(-1,0), (2,5), (3,7), (2,8)} a function?
What about {(1,1), (1,1), (1,1), (1,1)}?
Explain your answer.
The first relation is not a function since 2 has both 5 and 8 as outputs.
The second relation is a function since 1 has only an output of 1.
300
State if the function is linear or non-linear. Explain.
Non-linear, must increase by a constant amount. Here it jumps from increasing by 4 to increasing by 20, then 100. Not a constant rate of change.
300
If f(x)=(2x-1)/3 find x such that f(x)=1/2
x=5/4
300
Solve and Graph -x-3<1
x> -4
300
How many solutions does 1/2(4x-8)+2=2x-2
Infinitely many solutions (all real numbers)
400
Find the domain and range of the function:
Domain: [-5,6]
Range: [-1,1]
400
Graph y=2/3x-2 . State the y-intercept and slope of the line.
Slope: 2/3
y-int: (0,-2)
400
If C(x) is the cost to produce x number of pencils, write function notation for the statement "It cost $20 to produce 300 pencils"
C(300)=20
400
Solve and Graph 4x+3<=-1 or 5x>10
x<=-1 or x>2
400
Solve 1/2x-3=2x+9
x=-8
500
Find the domain and range of the function (you can assume the graph continues on to left):
Domain: (-inf,0]
Range: [-2,inf)
500
Graph the line -2x-7y=14. State the x-intercept and y-intercept.
x-int: (-7,0)
y-int: (0,-2)
500
If T(n) is the temperature (in degrees) n hours after 8am.
Interpret: T(5)>T(8)
The temperature at 1pm is more than at 4pm
500
Solve and Graph: -3<-5x+7<12
2>x> -1
500
Solve: 4/5(x-20)-2=1/3x-21
x=-45/7