Evaluating and Graphing Functions

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4

• f(x) = { x  if x ≤ 4;  -x+1  if x > 4

• f(x) = { -x+1  if x < 4;  x  if x ≥ 4

• f(x) = { -x+1  if x ≤ 4;  x if x > 4

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

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• x > -2

• x ≤ 1

Use the piecewise function from the picture.  Evaluate f(-4).

• 7

• 7.9

• -4

• -25

Evaluate the function when x = 2  {HINT: Should you substitute into the top equation or the bottom equation?}

• f(2) = 2(2) - 5 = 1

• f(2) = 2(2) - 5 = -1

• f(2) = ½(2) + 1 = 2

• f(2) = 4

Evaluate f(3)

• -4

• 8

• -2

• -1

Evaluate f(-4)

• -2

• -3

• 11

• -5

The graph represents a piecewise function. How many pieces make up the function?

• 1

• 2

• 3

• 4

Match the graph with the correct equation.

• 
• 
• 
• 

Find f(2)

• f(2) = 0

• f(2) = 1

• f(2) = 3

• f(2) = 4

During which interval is the bicyclist moving the fastest?