Function Equality Graphs Algebra

What is the value of x?

Answer explanation

Vertical Angles are congruent

6x+3 = 7x -13

+13 +13

6x + 16 = 7x

-6x -6x

16 = x

Tags

CCSS.7.G.B.5

Which option completes the proof?

• a. Given

  b. Subtraction Property of Equality

  c. Multiplication Property of Equality

• a. Addition Property of Equality

  b. Subtraction Property of Equality

  c. Multiplication Property of Equality

• a. Given

  b. Symmetric Property of Equality

  c. Division Property of Equality

• a. Segment Addition Postulate

  b. Subtraction Property of Equality

  c. Multiplication Property of Equality

Tags

CCSS.5.MD.A.1

Which of these tests can be used to determine if a graph represents a function?

• A. diagonal line test

• B. vertical line test

• C. horizontal line test

• D. intersecting line test

Answer explanation

The vertical line test can be used to determine whether a graph represents a function.

Which of the following relations is a function?

• A.

  {(2,1),(4,2),(2,3),(8,4)}

• B. {(−4,3),(−2,0),(2,7),(3,9)}

• C. {(−4,3),(−4,2),(1,9),(6,7)}

• D. {(0,0),(0,1),(2,3),(4,5)}

Answer explanation

The relation {(−4,3),(−2,0),(2,7),(3,9)} is a function because each value of x corresponds to only one value of y.

Tags

CCSS.8.F.A.1

• F
• G
• H
• J

Tags

CCSS.HSF.IF.A.1

Which of the graphs shown does NOT represent a function?

• A

• B

• C

• D

Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

• The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

• The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

• The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

• The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

Tags

CCSS.HSF-IF.C.7B

It is an equation in two variables x and y, where the variable y may be expressed as f(x) if every value of x corresponds to a single value of y.

• function

• equation

• variable

• notation

Answer explanation

In an equation in two variables x and y, the variable y may be expressed as f(x) if every value of x corresponds to a single value of y. This is known as a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

• 
• 
• 
• 

• F, B, A, C, E, D

• F, A, D, C, E, B

• F, C, A, D, E, B

• F, A, D, E, C, B

Tags

CCSS.HSA-REI.B.4B