Question

Use the drawing tool(s) to form the correct answer on the provided number line.

Consider the functions below.


f(x)= |3x| + 3

g(x)= –x^2 + 8x – 5


Represent the interval where both functions are increasing on the number line provided. (Picture provided)

Answer 1

see the attachment

Explanation:

f(x) is increasing for x > 0.

g(x) is increasing for x < 4.

Both functions are increasing on the open interval (0, 4). It will be graphed with a solid line between 0 and 4, and with open circles at 0 and 4. See the black line on the x-axis of the attachment for an example of such a graph.