Functions

Description

8th grade Math Flashcards on Functions, created by MICHELLE BOOTH on 04/10/2021.
MICHELLE BOOTH
Flashcards by MICHELLE BOOTH, updated more than 1 year ago
MICHELLE BOOTH
Created by MICHELLE BOOTH almost 3 years ago
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Resource summary

Question Answer
Is (2, 3) a solution to the equation y = 2x - 1 y = 2x - 1 3 = 2(2) - 1 3 = 4 - 1 3 = 3 Yes
Is this relation a function? Explain why or why not . (0,1) (1,2) (2,3) (3,4) (4,4) Yes, this relation is a function because every input has exactly one output.
Linear; Not a function
What are the input values? The x values
What are the characteristics of a linear graph? A straight line
How do you know if a GRAPH is a function? It passes the Vertical Line Test
What are the output values? The y values
Linear; Not a function
Is this relation a function? Explain why or why not. (-3,-1) (-2,0) (-1,3) (-1,0) (0,-1) No, this relation is not a function because the ordered pair (-1,3) and (-1,0) have the same input but different outputs.
What does it mean to be a function? Each input has only one output
Nonlinear
What are the characteristics of nonlinear in a graph? Graph is NOT a straight line
Decreasing
Linear; Function
What are the characteristics of a nonlinear table? Both the x and y values do not change by a constant amount
Nonlinear; Function
What are the input values in the following: {(1, 10) (2, 12) (3, 14) (4, 16)} {1, 2, 3, 4}
Linear
What does a line with the equation x = -8 look like? A vertical line passing through the x-axis at (-8,0)
Linear; Function
Increasing
Nonlinear
What are the characteristics of a linear equation? The equation has the variables in separate terms and all the variables have an exponent of 1
What does the graph of a line with the equation y = 2 look like? A horizontal line passing through the y-axis at (0,2)
Is this relation a function? Explain why or why not. (10,1) (11,6) (12,11) (13,16) (14,21) Yes, this relation is a function because every input has exactly one output.
Is the following equation linear or nonlinear? x = 7 Linear
Linear; Function
What are the output values in the following: {(1, 10); (2, 12); (3, 14)} {10, 12, 14}
Is the following equation linear or nonlinear? y = -2x + 7 Linear
Nonlinear; Not a function
From x=0 to x=8 and from x=12 to x=20
What are the characteristics of nonlinear in an equation? The equation does not have the variables in separate terms or a variable has an exponent other than 1
What are the characteristics of a linear table? Both the x and y values change by a constant amount
Is this relation a function? If not, explain why. (-2,-2) (2,-1) (3,0) (5,3) (5,4) No, this relation is not a function because the ordered pair (5,3) and (5,4) have the same input but different outputs.
What is the vertical line test? A visual method of determining whether a graph is a function by visualizing whether any vertical lines would intersect the graph at more than one point or not
Increasing Linear Function A function whose graph is a straight line that rises from left to right.
Is (3, 2) a solution to the equation y = 2x - 1 y = 2x - 1 2 = 2(3) - 1 2 = 6 - 1 2 = 5 No
Decreasing Linear Function A function whose graph is a straight line that falls from left to right.
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