2.5 Absolute Value
3.1 Relations
3.2 Functions
3.3 Types of Graphs
3.4 Intercepts of Graphs
100
What is the absolute value of -7?
7
100
What's the range?
{ (–1, –2), (0, –1), (1, 0), (2, 5), (3, 2), (4, 3) }
Range: (-2, -1, 0, 2, 3, 5)
100
Is it a function?
{ (2, 3), (4, 5), (2, 6) }
No!
100
Discrete, continuous, or neither?
Discrete
100
To find an x-intercept, what's the tip that Mr. MacPherson taught you?
Plug in 0 for y!
200
|x| = 9
x = 9 or x = -9
200
What's the dependent variable?
Mr. MacPherson's sleep depends on the behavior of his golden retriever, Josie.
SLEEP. Depends on Josie.
200
Is it a function?
(1, 1), (2, 3), (3, 5), (4, 5), (5, 6), (4, 5), (3, 5)
Yeah!
200
Continuous, discrete, or neither?
Continuous
200
What is the y-intercept of y= 3x + 5?
5
300
Solve |x - 4| = 6
x = 10 , x = -2
300
What is the independent variable?
Mr. MacPherson watches more television once the Trail Blazers season starts!
Trail Blazers season
300
If f(x)= 3x + 2 find f(4)
14
300
Linear or non-linear?
Non-linear
300
Find the x intercept:
y = 2x - 8
4
400
2|x + 1| = 8
x = 3 , x = -5
400
What is the most-streamed song in Spotify history (as of now)?
Blinding Lights by The Weeknd
400
If f(x) = 2x2 - 3x + 1
Find f(-2)
15
400
y = 3x2 + 5x - 7
Linear or non-linear?
Non-linear
400
Find both intercepts of y = -x + 6
Y intercept: 6
X intercept: 6
500
The temperature is supposed to be 68°F, but it can vary by no more than 5°F.
Write and solve an absolute value equation to find the possible temperature range.
|x - 68| = 5
x = 63 , x = 73
500
What’s the largest mammal in the world?
Blue Whale
500
f(x) = 2x3 - 4x2 + 3x +6
find f(2)
12
500
y = 4x2 - (2x)2 + 3x -6
Linear or non-linear?
Linear
500
When does this graph have a positive interval? Negative interval?
Positive: x: -2 to 3
Negative: x < -2 and x > 3