Piecewise Functions

Use the graph shown of f(x) =

x + 3, x < −1

−4x − 2, x ≥ −1

Over what part of the domain is function f increasing?

• x < −1

• x ≥ 2

• x ≥ −1

• x < 2

Graph the​ piecewise-defined function.

• 
• 
• 
• 

Write a piecewise function for the graph given.

• 
• 
• 
• 

How much does he earn for a 70 hour week?

• $1020

• $1140

• $840

• He works for free!

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

For the piecewise linear​ function, find ​ f(−1​).

Use the graph shown of f(x) =

x + 3, x < −1

−4x − 2, x ≥ −1

Over what part of the domain is function f decreasing?

• x < −1

• x ≥ 2

• x ≥ −1

• x < 2

For a given​ piecewise-defined function, the pieces of the function are defined for intervals of the​ domain, x≤−1 and x>−1.

Explain how you could find the​ y-intercept for the function over the intervals x≤−1 and x>−1​?

The​ y-intercept is included in the piece of the function that crosses the​ ​ (a)   The piece for the interval ​ (b)  

• y-axis

• x-axis

• x>-1

• x≤-1

For the piecewise linear​ function, find ​​ f(−3​).