Question

Describe the piece wise function below by evaluating the function for given values of the domain.

Answer 1

The piecewise function is a horizontal line restricted between x = 0 and x = 20. To evaluate the function, substitute the given values into the function.

Step-by-step explanation:

The given piecewise function is:

f(x) =

• a horizontal line for 0 ≤ x ≤ 20
• restricted to the portion between x = 0 and x = 20

To evaluate the function for given values of the domain, you can substitute the given values of x into the function and calculate the corresponding y-values. For example, to find f(5), substitute x = 5 into the function and evaluate.

It is important to note that the question does not provide the equation or specific values of the function, so the evaluation of the function cannot be performed without additional information.

Answer 2

• y = -3 (x ≤ -2)
• y = 2x - 3 (-2 < x ≤ 2)
• y = 5 (2 < x)

Step-by-step explanation:

The leftmost piece of the function is constant at -3.

The middle piece is a line with a slope of 2 that intersects the y-axis at -3, so has equation y = 2x-3. (The slope-intercept form of the equation of a line is y = slope·x + y-intercept. The slope is found by counting the number of vertical grid squares that correspond to each horizontal grid square.)

The rightmost piece is constant at +5.

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