162k views
1 vote
Answer the questions about the following function.

f(x) = 3x²-x-2
(a) Is the point (2,8) on the graph of f?
(b) If x= -1, what is f(x)? What point is on the graph of f?
If f(x) = -2, what is x? What point(s) are on the graph of f?
(d) What is the domain of f?
(c)
(e) List the x-intercept(s), if any, of the graph of f.
(f) List the y-intercept, if there is one, of the graph of f.

1 Answer

2 votes

Explanation:

f(x)=3x²-x-2

a) (2,8)

f(2)=3(2²)-2-2

f(2)=3(4)-4

f(2)=12-4

f(2)=8

Hence, the point (2,8) is on the graph of f(x)

b) x=-1

f(-1)=3((-1)²)-(-1)-2

f(-1)=3(1)+1-2

f(-1)=3-1

f(-1)=2

c) x=-2

f(-2)=3((-2)²)-(-2)-2

f(-2)=3(4)+2-2

f(-2)=12+0

f(-2)=12


d)\ f(x)\in(-2(1)/(12) ,\infty)

e) y=0

3x²-x-2=0

3x²-x-2=0

3x²-3x+2x-2=0

3x(x-1)+2(x-1)-0

(x-1)(3x+2)=0

x-1=0

x=1

3x+2=0

3x=-2

Divide both parts of the equation by 3:

x=-2/3

f) x=0

f(x)=3(0²)-0-2

f(x)=3(0)-2

f(x)=0-2

f(x)=-2

Answer the questions about the following function. f(x) = 3x²-x-2 (a) Is the point-example-1
User Tvm
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories