Functions
Does the following represent a function?
(map screenshot)
Yes
What is the symbol for slope?
m
What two pieces of information do you need for point-slope form?
Point
Slope
What is Standard Form?
Ax+By=C
Identify the slope and y-intercept:
y = -1/3x + 5
m = -1/3
y int: (0, 5)
Explain why this does NOT represent a function.
{(1,2), (3,4), (1,5), (2,6)}
1 has two different outputs: 2 and 5
What is the formula used to calculate slope?
rise/run
OR
change in y/change in x
Identify the point and the slope
y - 2 = 3 (x - 1)
slope = 3
(1, 2)
Identify the x and y intercepts in ordered pair form
-2x + 3y = 6
y = (0,2)
x = (-3,0)
Identify the slope and y-intercept
screenshot of graph
y: (0,2)
m = 3/4
Is the following an example of a LINEAR function?
How do you know?
screenshot of table
Constant difference of 3/2
What is the slope of the following:
2y = 4x - 5
2
Write an equation in point-slope form
m = -2
(0, 1)
y - 1 = 2(x - 0)
Samantha says -1/3x + 2y = 3 is in standard form. Identify her error.
A cannot be a fraction OR negative.
Identify the slope and y-intercept:
y = x
m = 1
y int: (0,0)
What is the difference between a relation and a function?
Function - one output for each input
Relation - a relationship between two sets of values
Find the slope of the following:
screenshot of graph
m = 3/4
Write an equation in point slope form:
screenshot of graph
(4,5) (0,2) m = 3/4
y - 2 = 3/4 (x -0) OR y - 5 = 3/4 (x - 4)
Write the following in standard form
1/6x + 2y = 2/3
x + 12y = 4
Convert the following into slope-intercept form:
3x - 4y = 2
y = 3/4x - 1/2
What is the name of the test that you use to check whether a graph is a linear function or not?
Vertical Line Test
Find the slope:
(-2, 3) (5, -4)
-7/7 = -1
Write an equation in point slope form
(-2, 3) (1, 2)
y - 2 = -1/3 (x -1)
OR
y - 3 = -1/3( x+2)
Convert the following into Standard Form:
y - 2 = -3 (x + 2)
3x + y = -4
Use the information to write an equation in slope intercept form:
screenshot of table
y = 2x + 3