Algebra - Transformations of Functions

What is the domain of the function?

• (-infinity, infinity)

• [3, infinity)

• (3, infinity)

• [-3, infinity)

What is the range of the function?

• [-7, infinity)

• (7, infinity)

• [0, -infinity)

• [3, infinity)

Over what interval is the function increasing?

• [3, infinity)

• (-3, infinity)

• [-3, infinity)

• (3, infinity)

What is the value of f(-1/2) for the shown function?

• (1/81)

• (-1/81)

• (-1/24)

• (1/24)

Tags

CCSS.HSF.IF.A.2

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

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Tags

CCSS.HSF.BF.B.3

The parent function of a graph, f(x), is the square root of x. Which function below represents f(x) undergoing a horizontal stretch with a scale factor of three and a vertical translation up two units.

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Tags

CCSS.HSF.BF.B.3

Using your graphing calculator, find the solution(s) to the following equation (rounded to the tenths).

• x = -0.8, 0.6

• x = -0.6, 0.7

• x = 0.8, 1.4

• x = -0.6, 0.8

The Greatest Integer Function is also known as a ______________ function.

• Floor

• Ceiling

The red function is a transformation of the blue, parent function. Which option is a possible equation for the red function?

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Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.2

This notation represents a(n) ...

• Absolute Value Function

• Floor Function

• Ceiling Function

• Greatest Integer Function

Tags

CCSS.HSF-IF.C.7B