Relations & Functions
What is the definition of a function?
A function is a relation where each input (x-value) is paired with exactly one output (y-value)
How can you write a function using a table with the points (1,2), (2,4), and (3,6)?
y = 2x
What is the slope and y-intercept of the function y = 3x + 7?
Slope: 3, Y-Intercept: 7
True or False: A linear function has a constant rate of change.
True.
What is the y-intercept of the line passing through (0, -4)?
-4
Is the set {(2,3), (4,5), (2,7)} a function? Why or why not?
No, because the input 2 has two different outputs
Graph the points (1,3), (2,6), (3,9). What type of function is this?
Linear
What is the equation of a line with a slope of -2 and a y-intercept of 5?
y = -2x + 5
True or False: All functions are relations, but not all relations are functions.
True.
What is the equation of a line with a slope of -2 and a y-intercept of 5?
y = -2x + 5
How do you test if a graph is a function using the vertical line test?
If a vertical line crosses more than once, it's not a function
Write the function rule for the relationship shown in the table: x = [1,2,3], y = {4, 7, 10}.
y = 3x + 1
Find the slope between the points (2,4) and (5,10).
Slope = 2
True or False: Can a function be both linear and nonlinear?
False
Find the slope between the points (2,4) and (5,10).
Slope = 2
What is the y-intercept of the function y = 4x - 3?
The y-intercept is -3, because when x = 0, y = -3.
Which equation represents a line with a slope of 0 and goes through (5, 6)?
y = 6
Write the function rule for the relationship shown in the table:
x = [1,2,3]
y = [2,4,6].
y = 2x
True or False: The slope of a horizontal line is undefined.
False.
What can you determine about the slope of a line if the graph moves downward from left to right?
The slope is negative.
Write the equation of a function that passes through the points (1,4) and (3,8).
y = 2x + 2
How can you identify a function from a set of ordered pairs?
Check if each input has exactly one output
How can you represent the function y = 5x - 2 using a table?
Choose x-values and solve for y
True or False: A quadratic function can have two x-intercepts.
True
What is the equation of a line with a slope of 3 and a y-intercept of 2?
y = 3x + 2