Functions (general)

What letter is at the ordered pair (0, 3)?

• A
• M
• R
• L

The following table shows what a local gym charges for nonmembers and members:

Find the cost for a member who uses the gym 12 times.

Look at the given table.  What do you get for:

  $n=15$  ?

Match the following piecewise functions with their correct conditions for calculating rewards points:

• -x+1 if x < $100; x if x ≥ $100

• f(x) = { -x+1  if x ≤ $100;  x if x > $100

• x if x ≤ $100; -x+1 if x > $100

• f(x) = { -x+1  if x < $100;  x  if x ≥ $100

• -x+1 if x ≤ $100; x if x > $100

• f(x) = { x  if x ≤ $100;  -x+1  if x > $100

• x if x < $100; -x+1 if x ≥ $100

• f(x) = { x  if x < $100;   -x+1  if x ≥ $100

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Which of the following is the correct rest of the table?

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Answer explanation

There are two methods:

1) Plug in each x into the equation to find f(x).

2) Go backwards in the pattern.

What is a piecewise function

• It only one function

• It multiple functions with outputs

• It multiple functions without the outputs

• It only two functions with outputs.

A dog groomer charges according to the following function f(x), which represents the total price and x represents the weight of the dog. If your dog weighs 40 pounds, how much will you pay?

• $20

• $30

• $45

• $0

Evaluate  $f\left(x\right)$  for  $x=-5$  

• 47

• 41

• -7

• -253

Piecewise functions are sets of various functions with intervals.

• True

• False

• Both