Functions
Slope and Linear Equations
Parallel and Perpendicular Lines
Arithmetic Sequences
Inverse Functions
100
Definition of a function
What is one input for each output?
100
The slope between the points: (4, 1) and (-2,7)
What is -1?
100
The slopes of perpendicular lines
What is opposite reciprocals?
100
The two pieces of information you need to write an arithmetic sequence.
What is first term and difference
100
How do you represent the inverse of f(x)
f^-1(x)
200
Functions can be represented using...
What are equations, tables, and graphs?
200
Write the function f with the given values: f(0)=2 and f(3)= -1
What is f(x)= -x+2
200
Determine if the following lines are parallel:
2x-3y=9
4x-5y=15
No
200
What is the difference in the arithmetic sequence:
5, 2, -1, -4,...
-3
200
What is the first step to finding the inverse function of f(x)
Replace f(x) with y
300
All functions are linear. True or False
False.
300
To rent office space for you business, you must pay a one-time fee of $1,000 and pay rent of $800 per month. Write the linear function that represents the total cost of renting office space as a function of the number of months you will rent.
What is f(x) = 800x+1000
300
Find the equation of the line parallel to the line
2x-5y=-20 and passes through the point (7, 6)
y-6=2/5(x-7)
300
Write the formula for the arithmetic sequence:
-1, -7, -13, -19, ...
a_n=-1-4(n-1)
300
Are these inverse functions?
Yes
400
The definition of a linear function.
What is a constant rate of change?
400
Write the function in slope-intercept form using the given line.
f(x)
f(x)=-4/3x-2
400
Sometimes, Always, Never:
Two lines with the same x-intercept are perpendicular.
Sometimes
400
The first term of an arithmetic sequence is 3. The common difference of the sequence is 10 less than twice the first term. Write the next three terms of the sequence.
-1, -5, -9
400
Are these inverse functions:
No
500
The value a rule is applied to
What is an input?
500
You are renting a paddle board. The company charges a $50 fee and $20 per half day.
a. Write an equation that represents the total cost (in dollars) of renting the paddle board as a function of the number of half-days.
b. How many half days can I rent the paddle board if I have $300?
a. f(x)=20x+50
b. 12 half days
500
Write the equation of the line that passes through the point and is a) parallel to the line and b) perpendicular to the line.
a) y=-3x+14
b)
y=1/3x+2/3
500
What is the common difference:
7pi,5pi,3pi,pi
d=-2pi
500
Find the inverse function:
f(x)=2/5(x-3)-4
f^-1(x)=5/2x+13