CPM Algebra Connections Chapter 11 Review

Evaluate f(-2) if f(x) = x+3

• -1

• 1

• 5

• -5

Answer explanation

To evaluate f(-2), substitute x with -2 in the function f(x) = x + 3. f(-2) = -2 + 3 = 1. Therefore, the correct answer is 1.

Tags

CCSS.HSF.IF.A.2

• -1

• 0

• 2

• 3

Answer explanation

To find the value of x when f(x)=-12, set 2x-10=-12. Solve for x: 2x-10=-12, 2x=-2, x=-1. Therefore, the correct value of x is -1.

Tags

CCSS.HSF.IF.A.2

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

Answer explanation

The definition of a function states that every input has only ONE output, distinguishing it from other mathematical relationships.

Tags

CCSS.8.F.A.1

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

Answer explanation

No, because the x-value 11 has two y-values pair with it.

Tags

CCSS.8.F.A.1

Is this mapping a function or not a function? 

• Function

• Not a Function 

Answer explanation

The mapping is a Function because each input value corresponds to exactly one output value, satisfying the definition of a function.

Tags

CCSS.8.F.A.1

Is this table a function or not a function? 

• Function

• Not a Function

Answer explanation

The table is not a function because it has multiple outputs for the same input, violating the definition of a function.

Tags

CCSS.8.F.A.1

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Answer explanation

The set of values (6,-5), (7,-3), (8,-1), (9,1) is a function because each input value (x) corresponds to only one output value (y), satisfying the definition of a function.

Tags

CCSS.8.F.A.1

Is this graph a function or not a function? 

• Function 

• Not a Function

Answer explanation

The correct choice is Function because the graph represents a function where each input has only one corresponding output.

Which graph does NOT pass the vertical line test?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Answer explanation

Graph 1 does NOT pass the vertical line test because it intersects the graph at more than one point vertically.

What is x if

f(x) = -1?

• 4

• 0

• 3

• 6

Answer explanation

To find x when f(x) = -1, we set f(x) = -1 and solve for x. If f(x) = 2x - 7, then 2x - 7 = -1. Solving for x gives x = 3.5. Therefore, the correct answer is 6.

Tags

CCSS.HSF.IF.A.2