Functions
Is this a function
(1,2),(2,4),(3,6),(4,8)
Yes, it is a function because each input has only one output.
y=2x+1
What is the slope?
Slope = 2
Simplify:
23
8
A right triangle has side lengths of 3 and 4.
Use the Pythagorean Theorem to find the length of the hypotenuse.
c=5
what planet do we live on?
earth
What is the slope (rate of change) of the function shown in the table?
x y
0 3
1 6
2 9
3 12
Slope = 3
What is the y-intercept of the equation?
y=−3x+4
y-intercept =4
52x53
55=3125
A car travels 180 miles in 3 hours.
What is the unit rate in miles per hour?
60 miles per hour
how many seconds in an hour?
3600
Which function has the greater rate of change?
Function A:
y=4x+1
Function B:
x y
0 2
1 8
2 14
Function B
A line passes through the points:
(1,3) and (3,7)
slope=2
75/72
73=343
simplify 43x42
45=1024
What is the largest Ocean on Earth ?
A function is represented by the equation:
y=−2x+5
What is the output when x=4
y=-3
Write an equation in slope-intercept form for a line with:
y=5x-2
38=6561
Which number is greater?
-3/4 or -0.6
-0.6
If I have 3 apples and you take away 2, how many apples do you have?
2 apples (you took them)
Compare the initial values (y-intercepts) of the two functions.
Function A:
y=3x+7
Function B:
x y
0 5
1 8
2 11
which function has a greater y intercept? (x=0)
Function A
Two proportional relationships are shown below.
Function A:
y=5x
Function B has a slope of 7.
Which function has the greater unit rate, and by how much?
Function B has the greater unit rate.
7−5=2
Function B’s unit rate is 2 greater than Function A’s.
23x24/22
25=32
The following ordered pairs represent a relationship:
(2,5),(4,9),(6,13),(2,7)
Is this relationship a function? Explain your answer.
No, it is not a function.
A function must have exactly one output (y-value) for each input (x-value).
The input 2 is paired with two different outputs:
What has to be broken before you can use it?
An Egg