Exploring Piecewise Functions and Their Graphs

What does the term 'piecewise function' imply?

• A function made of a single piece

• A function that is not defined

• A function made of multiple pieces

• A function with no pieces

In the given piecewise function, what is the equation of the parabola piece?

• y = -x + 10

• y = x^2

• y = 6

• y = x

For the piecewise function, what is the value of f(x) when x = 2?

• 6

• 2

• 4

• 10

What is the slope of the linear function in the given piecewise function?

• 0

• -1

• 2

• 1

What is the equation of the horizontal line in the second example of a piecewise function?

• f(x) = 2

• f(x) = x

• f(x) = x^2

• f(x) = -x + 6

In the second example, what is the range of x for the absolute value function?

• x = 0

• x < -2

• -2 ≤ x ≤ 2

• x > 2

What is the equation of the quadratic function in the third example?

• f(x) = x^2

• f(x) = 2x + 1

• f(x) = x

• f(x) = 3

In the third example, what is the value of f(x) for x = 0?

• 0

• 2

• 1

• 3

What is the slope of the linear function in the third example?

• -1

• 1

• 2

• 0

Which graphing utility is recommended for making sense of piecewise functions?

• GraphCalc

• WolframAlpha

• Desmos

• GeoGebra