Functions
Slope and Linear Equations
Writing linear functions
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
What is the y- intercept of the table? *Hint work backwards to find when x = 0.
What is the y- intercept is b=25.
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
What is the equation if m = 3 and b = 10?
what is y = 3x + 10?
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
Write an equation in slope-intercept form (2,-3); m=5
What is y = 5x - 13
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
Michael has $500 in his account. If her earns $50 per day working for his dad what is an equation to represent how much money(y) he will have in x days.
What is y = 50x + 500
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
What is and equation for the points (5, 8) and (3, 4)?
What is y = 2x - 2?
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