Equations and Inequalities
Functions and Relations
Domain and Range
Slope and Slope-Intercept Form
Function Notation
100
7x=56
x=8
100
A function is a relation where...
each input produces ONE output
100
What gives us the set of all possible input values?
What is domain?
100
In the equation y=mx+b, which variable represents slope?
What is m?
100
Given k(x) = 5x + 3 ;
Find k(9)
k(9) = 48
200
3x+5=32
x=9
200
Does the mapping diagram represent a function?
How do you know?
No. The input 2 is pointing to two different outputs.
200
List the range.
{-3,1,3,4}
200
What is the slope of a line with the equation
y=-2/3x+4
m=-2/3
200
Given w(t) = −2t + 1;
Find w(−7)
w(-7) = 15
300
-11x+3<124
x>-11
300
Does the x-y table represent a function?
How do you know?
Yes. No input value is being repeated.
300
{0,1,2,3}
300
At what point does the line represented by the equation
y=2x-6
cross the y-axis?
(Give your answer as a coordinate pair!)
(0,-6)
300
Given g(t) = 3x² + 2x;
Find g(2)
g(2) = 16
400
Solve for y:
2x+3y=z
y= (z-2x)/3
400
Is this relation a function?
{(1,5), (8,4),(3,-2),(1,0),(6,-3)}
No. The input value 1 produces two different outputs.
400
List the domain.
{2,3,5,7,9}
400
Find the slope between the points:
(2,3) (9,2)
m = -1/7
400
Given h(n) = −2n²+ 4;
Find h(4)
h(4) = -28
500
4n − 1 = 6n + 8 − 8n + 15
n=4
500
Does the graph represent a function?
How do you know?
No. The graph does not pass the vertical line test.
500
Give the range of the graphed function.
[-6,4)
500
Find the slope between the points:
(3,8) (7,10)
m = 1/2
500
Given h(x) = 4x³ + 7x - 15 ;
Find h(3)
h(3) = 114