Creating Functions

For a cellular phone billing plan, $50 per month buys 400 minutes or less. Additional time costs $0.30 per minute. Let the monthly cost C(x) be a function of the time x.

Which piecewise function represents this situation?

• 
• 
• 
• 

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

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

Devin is designing a ramp for a skateboard park. The ramp needs to start at a height of -4 feet and rise at a slope of 4. Which of the following equations could represent the height of the ramp, y, in feet, as a function of the horizontal distance, x, in feet?

• f(x)=-4x+4

• f(x)=4x-4

• f(x)=1/4x-4

• f(x)=1/4x+4

Find the missing f(x)-value:

• 10

• -10

• 8

• -8

Find the missing f(x) value:

• 10

• -2

• -1

• 2

Find the missing  x-value:

• 6

• -6

• -62

• 8.6

Find the missing f(x) value:

• 15

• -15

• 1

• -1

Find the missing g(x) value:

• -1

• 1

• 0.0625

• -0.0625