10. Use the graph of f(x) to answer the questions. : 4 2 a) Find f(0) and f(-6).

Question

10. Use the graph of f(x) to answer the questions. : 4 2 a) Find f(0) and f(-6). b) Is f(x- 4) positive or negative? c) For what values of x does f(x) = 0? d) For what values of x is f(x) >0? e) What is the domain of f (x)? What is the range of f(x)? f) What are the x-intercepts? y-intercept? g) For what values of x does f(x) 3? h) For what values of x does f (x) =-2? i) What are the zeros of f(x)? j Find intervals on which function f(x) is increasing, decreasing. k) Find all relative MAX and MIN of the function.

Explanation / Answer

a. f(0)

Value of y when x=0 is 3

f(-6)

value of y when x=-6 is -3

b. f(x-4)

It shifts the graph to right side. SO it is positive

c. f(x)=0

y= 0 for x=3

d.f(x)>0

Graph is above xaxis in (-3,6)U(10,11)

e.Domain

x values are from -6 to 11. Therefore domain [-6,11]

range

y values are from -6 to 4 . Therefore range [-6,4] .

f. x intercepts

Value of x when y=0 which are (-3,0),(6,0),(10,0)

y intercept

Value of y when x =0 which is (0,3)

g.f(x)=3

y is 3 when x =0

h.f(x)=-2

y=-2 when x=-5

i. Zeroes

x=-3, 6,10

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.