Creating Functions

Select the correct graph for the following piecewise function.

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Find f(1)

• f(1) = -3

• f(1) = 2

• f(1) = -1

• f(1) = 3

Functions that are made up of distinct "pieces" of other functions defined over different intervals are called

• Absolute Value Functions

• Piecewise Functions

• Exponential Functions

• Quadratic Functions

What are the domain restrictions for the middle piece of this function?

• x ≥ 1

• x ≥ 2

• 2 ≤ x < 6

• 1 ≤ x < 3

What are the domain restrictions for the red (1st line) piece of this function?

• x ≤ -2

• x ≤ 1.5

• x > -2

• x ≤ -1

Evaluate

g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated down 4.

• f(x) has been translated up 4.

• f(x) has been translated 4 units the left

• f(x) has been translated 4 units to the right

$12.75 $35 $45 $27.75

• $12.75

• $35

• $45

• $27.75

What is the domain of the graph?

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Mooch decides to watch 30 fewer minutes of television each week after the first week. Mooch watches 6 hours of television during the first week.  Let n represent the weeks after the first and T(n) the total hours watching tv each week . What type of function is this?

• exponential

• geometric

• linear

• quadratic