# Thread: find value of f(2) given graph

1. ## find value of f(2) given graph

(1 pt) Book Exercise 1

The graph of a function is given. ( Click on the picture to enlarge it )

a) The value of is .

b) The value of is .

c) For what non-zero value of is ?.

d) State the range of as an interval. .

e) On what open interval is increasing? .

If needed enter as - INF and as INF.
You might need to use brackets [ ] for closed intervals and parenthesis ( ) for open intervals.
Note: You can earn partial credit on this problem.

Can someone explain how to calculate f(2)? Thanks

2. Originally Posted by juventinoalex
(1 pt) Book Exercise 1

The graph of a function is given. ( Click on the picture to enlarge it )

a) The value of is .

b) The value of is .

c) For what non-zero value of is ?.

d) State the range of as an interval. .

e) On what open interval is increasing? .

If needed enter as - INF and as INF.
You might need to use brackets [ ] for closed intervals and parenthesis ( ) for open intervals.
Note: You can earn partial credit on this problem.

Can someone explain how to calculate f(2)? Thanks

Hi juventinoalex,

How did you calculate f(0) ?

To find f(2), look at your graph and see what the value of y is on the curve when the value of x is 2.

y = f(2)

(2, f(2))

If you want to define the equation of the parabola, you could use a point on the curve.

You can see the vertex is at (2, -1).

Use $f(x)=a(x-h)^2+k$, vertex (2, -1) for (h, k), and some other point on the curve find that a = 1. Then the equation becomes:

$f(x)=(x-2)^2-1$

Now, to find f(2):

$f(2)=(2-2)^2-1$

$f(2)=-1$

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# how to find the value of f(x) from the graoh of f(x)

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