Review Topics
Determine whether or not the following set of ordered pairs is a function or a relation. Explain why/why not
(5,1) (-7,1) (0,0) (8,17), (251/2,4)
It is a relation but not a function. Two points have the same x-coordinate but a different y-coordinate).
Given f(1)=4, f(-3) = 20, write the function rule for f(x)
f(x) = -4x + 8
Identify all the transformations, as well as the parent function name of the following function:
f(x) = -2(x+1)^3
Type: Cubic
VSF of 2, reflection over x-axis, 1 left
What is the "green" used in a traditional Caesar salad?
Romaine Lettuce
Solve the following system of equations.
2x = 5y - 3
3x + y = 8
(37/17,25/17)
Draw a function with 2 local maximums, one global minimum, and the end behavior of "up, up"
Answers vary.
Create a fifth-degree binomial that is monic and has a constant value of 10.
x^5+10
What is the Ridgewood High School motto?
A Tradition of Excellence.
Find the equation of the perpendicular bisector between the following points: (0,2) and (6,-2). Write the equation in slope-intercept form.
y=3/2x-9/2
Draw a reciprocal function that is increasing on the following intervals:
x<-2 , x>= -2
Answers vary
Create a square root function that is reflected over the y-axis and is moved 3 right and 1 up.
f(x) = sqrt(-x+3) + 1
What is the difference between interstate roads that end in a '5' versus roads that end in a '0'
'5' roads go North and South
'0' roads go East and West
If a3 = 10 and a9 = 202, write the recursive rule for the an term.
a1= -54, an = an-1 + 32
Use the domain of f(x) to calculate the domain of g(x).
f(x) -> D: 2<=x<=6
g(x) = 1/2f(-x-3)+1
{D: -9<=x<=-5}
Find -3g(x) + 5f(x) if
f(x) = (x+1)^3 , g(x) = 2x^3-3x+11
-x^3+15x^2+24x-28
How many miles (in a straight line) are between New York City and Philadelphia?
80.6 miles
Given the system of equations
3x - 4y = 2t
5x+ 6y = 9
What value of t would make the solution lie on the x-axis?
t=27/10
Create a function with three vertical asymptotes.
Answers vary.
Sketch a graph of the following exponential function. Label the coordinates of a critical point.
f(x) = 2^(x+1)-5
Answers Vary
A footprint.