Question

Estimate the value of the function at x = 4 given the following graph.

Answer 1

Yo sup??

The only way to solve this problem is by observing the graph closely and making some approximations.

We have to compare the value of x with the corresponding y value.

at x=4 you will find that the value of y is around 3.8-3.9

Therefore the answer is 3.8

Hope this helps.

Answer 2

Answer:

$f(4) \approx 3.73$

Step-by-step explanation:

We can see that this function looks like a square root function but only shifted to the right by 1 and up by 2.

A square root function is:

$f(x) = \sqrt{x}$

Shifting a function up means adding that value to the f(x):

$f(x) = \sqrt{x}+2$

Shifting a function to the right means replacing a value x with the value (x-the value of shifting a function to the right):

$f(x) = \sqrt{x-1}+2$

We can check that this really is a graph of a function $f(x) = \sqrt{x-1}+2$:

$f(1) = \sqrt{1-1}+2 = 0+2=2$

We can see on the graph that this really is the case : f(1)=2

Also,

$f(2) = \sqrt{2-1}+2 = 1+2=3$

This is also the case if we check the graph.

So, now we have to estimate f(x) at x=4:

$f(4) = \sqrt{4-1}+2 = \sqrt{3}+2$

where $\sqrt{3} \approx 1.73$ , hence:

$f(4) \approx 1.73+2 = 3.73$