1.1&1.2
1.3&1.4
1.5&1.6
1.7&1.8
1.9&1.10
100
Find the exact distance between the given coordinates:
A(5,-3) & B(-1,-1)
d=2\sqrt10
100
Sketch a graph of the line
3x-2y=16
100
Does the equation represent a function? Explain why or why not.
x^2-y=5
Yes; the graph is a parabola which passes the VLT.
100
Describe the transformations of g(x) from its parent function.
g(x)=4|x+1|
Shift left 1
Vertical stretch by 4
100
Does the function have an inverse? Explain why or why not?
f(x)=x^4
No; f(x) is not one-to-one. It fails the HLT.
200
Find the midpoint between the given coordinates:
A(10,-3) & B(3,7)
M(6.5,2)
200
Find the slope-intercept form of the equation of the line that goes through the coordinates (-11,2) & (0,-5)
y=-7/11x-5
200
Identify which family of functions each function belongs to:
f(x)=(x-1)^3-2
g(x)=-3sqrtx+7
h(x)=1/(x-2)-2
f(x): cubic functions
g(x): square root functions
h(x): reciprocal functions
200
Find the value of (fg)(-5) for the given functions
f(x)=3x-5
g(x)=x^2+7
(fg)(-5)=-640
200
Find the inverse of the function.
f(x)=1/2x-5
f^-1(x)=2x+10
300
WITHOUT A CALCULATOR, find the y-intercept(s) of the equation
y=(x+2)^2-9
y-int: (0,-5)
300
Find the slope-intercept form of the equation of the line that goes through the point (-6,3) and is perpendicular to
2x+7y=4
y=7/2x+24
300
Approximate the open interval(s) on which the function is increasing, decreasing, and constant. 
Increasing:
(-2,0)cup(1,infty)
Decreasing:
(-infty,-2)cup(0,1)
Constant: N/A
300
The function f(x) is a quadratic function reflected over the x-axis and then shifted up 5 units. Write the function f(x).
f(x)=-x^2+5
300
Verify that the functions below are inverses of each other.
f(x)=x^2-4
g(x)=sqrt{x+4}
Must show f(g(x)) = x and g(f(x)) = x.
400
WITHOUT A CALCULATOR, find the x-intercept(s) of the equation
y=(x+2)^2-9
x-ints: (1,0) & (-5,0)
400
WITHOUT A CALCULATOR, find the domain of the function. Write your answer in interval notation.
f(x)=1/(x+7)-4
(-infty,-7)cup(-7,infty)
400
Graph the piecewise function.
f(x)={(3x-1, ; ,x<2),(-(x-3)^2+2, ; , xgeq2):}
400
Find the composition value
f(x)=3x-5
g(x)=x^2+7
(f circ g)(-1)=?
(f circ g)(-1)=19
400
Use the given function f(x) to determine the DOMAIN of
f^-1(x)
f(x)=sqrt(x+5)-2
[-2,infty)
500
WITHOUT A CALCULATOR, test the equation for symmetry with respect to the x-axis, y-axis, and origin.
x^3-y=0
x-axis: NO
y-axis: NO
origin: YES
500
Find the domain of the function. Write your answer in interval notation.
f(x)=5sqrt(3x+4)-1
[-4/3,infty)
500
Determine if the function is odd, even, or neither. Defend your answer.
f(x)=5x^3-4x
ODD
f(-x)=5(-x)^3-4(-x)
f(-x)=-5x^3+4x
f(-x)=-(5x^3-4x)
f(-x)=-f(x)
500
Find the composition of the given functions
f(x)=3x-5
g(x)=x^2+7
(g circf)(x)=?
(g circ f)(x)=9x^2-30x+32
500
Find a mathematical model that represents the statement: "m varies inversely as n. Also, m = 36 when n = 2.5"
m=90/n
OR
m=90\times1/n