Answer the following questions for the function f(x) = x^2 - 6x + 8. (a) What is

Question

Answer the following questions for the function f(x) = x^2 - 6x + 8. (a) What is the domain of the function? (b) For what value(s) of x does f(x) = -1? (c) What are the x-intercepts, if any? (d) What is the y-intercept, if any? Determine whether the function f(x) = 5 + x sin x is even, odd, or neither. Find the inverse of the function f(x) = 2/x - 3. The graph of y = f(x) consists of the line segment joining (-3.0) to (0.2) and the line segment joining (0.2) to (1, 1). (a) On the graph provided, sketch clearly the graph of y = f(x). What is the range of this function? (b) Sketch dearly the graph of the function g(x) = f(x - 2) + 1. State the quadrant in which the terminal side of theta lies if sec theta > 0 and sin theta

Explanation / Answer

3. f(x)= x2-6x +8

Domain

THere is no restriction on domain or x values.

Therefore domain =(- infinity,infinity)

b. f(x)=-1=x2-6x +8

x2-6x +9=0

(x-3)^2=0

x=3

c. x intercept

x2-6x +8=0

(x-2)(x-4)=0

x=2,4

x intercepts = (2,0),(4,0)

d. y intercepts

x=0

0-0+8=f(x)

f(x)=8

y intercept (0,8)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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