SOLUTION: f(-2) = 2,f(0) = -4

Question 375914: f(-2) = 2,f(0) = -4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since f(-2) = 2,f(0) = -4, we know that the line goes through the points (-2,0) and (0,-4)

First let's find the slope of the line through the points

and

Note:

is the first point

. So this means that and .
Also,

is the second point

. So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points

and

is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Rewrite as

Distribute

Multiply

Simplify

So the equation that goes through the points

and

is

So the function is

Notice how the graph of goes through the points

and

. So this visually verifies our answer.
Graph of through the points

and

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
RELATED QUESTIONS
f(x)= x�+4 f(0) and f(2) (answered by jorel1380)

Write a linear function f with f(0)=2 f(0)=2 and f(2)=4... (answered by Alan3354)

f(2)=36 and f(-4)=f(0)=F(3)=0 expression for cubic funtion (answered by solver91311)

If f = {(0, 2), (2, 4), (4, 2)}, what is the value of f(f(f(0))) +... (answered by Fombitz)

f(x)=e^-x find: 1.f'(x) 2.f"(x) 3.f"'(x) 4.f^4 (x) 5.f^n (x) 6.f'(0) 7.f"(0)... (answered by ewatrrr)

Given f(x) = 2x^2 - 3x + 4, find the following: f(4) f(-3)... (answered by tutorcecilia)

Find f(-2),f(0) and f(4) for the following function. f(x)=-3x f(-2)= f(0)=... (answered by Shin123)

Given f(x) = �x3 + 3x2 � x + 4, find f(�2), f(0), and... (answered by jim_thompson5910)

Find a function f that satisfies the conditions. f ''(x) = x2, f '(0) = 4, f(0) = (answered by user_dude2008)