Question

sketch the graph of a function f that meets the following criteria:
·f has a domain of all real numbers
·f is constant for -5 ≤ x ≤ 0
·f is increasing for 0 ≤ x ≤ 2
·f has a maximum value at x = 2

Explanation:

Step1: Draw constant part

Draw a horizontal line from $x = - 5$ to $x = 0$.

Step2: Draw increasing part

Draw an upward - sloping line from $(0,f(0))$ to $(2,f(2))$.

Step3: Indicate maximum

Mark a peak at $x = 2$.

Answer:

Sketch as described above.