Answer:
Step-by-step 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)
