Standard 1
Solve:
x - 3 = 7
x = 10
State the Domain
(1, 4) (7, 10) (15, 18)
[1, 7, 15]
Is this a function?
(-4, -3) (-2, 6) (3, 3) (3, 5) (3, 7)
No, input of 3 has different outputs (3, 5, and 7)
Is this a linear function?
y = 4x - 10
Yes, the constant rate of change is 4
Give an example of two variables that show a:
Positive Correlation
Answers Will Vary
Solve:
3x + 4 = 16
x = 4
State the Range
(1, 4) (7, 10) (15, 18)
[4, 10, 18]
What does it mean to "pass" that Vertical Line Test?
The graph of an equation only intersects with a vertical line once and IS a function.
If it intersects more than once, then it "fails" the Vertical Lines Test and is NOT a function.
In order to be a Linear Function, the rate of change must be:
Constant (the same)
Give an example of two variables that show a:
Negative Correlation
Answers Will Vary
Solve:
3x - 4 = 6x + 14
x = -6
How do you organize coordinate points in a table?
By the x-values, lowest to greatest
Evaluate:
f(x) = 3x - 7
f(-5) = ???
f(-5) = -22
Calculate the rate of change:
(0, 4) and (12, 12)
8/12 = 2/3
Create an equation in slope-intercept form:
b = 10
m = -4
y = -4x + 10
Solve:
2(x - 6) = 30
x = 21
On vacation, you can rent a boat for $65 per hour. How much would it cost to rent the boat for 4 hours?
$260
$65 x 4
Evaluate:
f(x) = 2x + 28
f(14) = ???
f(14) = 56
In a Distance vs Time graph, what would the line look like if someone stopped running to tie their shoes?
Create an equation in slope-intercept form:
b = -7.2
m = 15/4
y = (15/4)x - 7.2
Solve:
9 - 2x = 14 - 3x
Mr. Topf can bake 7 pizzas per hour. How long would it take him to bake 126 pizzas?
18 hours
126/7
Mr. Topf sold 25 editions of his latest book for $6.75 each. How much money did he earn?
$168.75
$6.75 x 25
Calculate the rate of change:
(7, 8) and (23, 17)
9/16
What is the x-value at the y-intercept?
x = 0