Question

Select the correct texts in the table. consider function f

are the statements about the graph of function f true or false?

Answer 1

• true
• true
• true
• false
• false

Explanation:

You want to know if the statements describing the graph are true or false.

Y-intercept

The applicable function definition for x=0 is

f(x) = 4x -15

The constant in this linear equation shows the y-intercept is -15. (True)

Discontinuity

The relevant function values are

f(-2-) = -1/4(-2)² +6(-2) +36 = -1 -12 +36 = 23

f(-2) = 4(-2) -15 = -8 -15 = -23

These values are different, so there is a discontinuity at x=-2. (True)

Increasing

The graph shows the function is increasing everywhere in its domain. (True)

Decreasing

The function is increasing everywhere. (False)

Domain

The function is undefined at x=4. The range does not include all real numbers. (False)