What is the approximate value of the function at x = -8
a) 2
b) 1
c) 1.8
d) 1.5

f(-8) = 1.8

Step-by-step explanation:

See the graph of a given function which is attached to the question given.

The graph of y = f(x) is plotted in the graph and we have to find the value of y at x = - 8 i.e. f(-8).

It is clear from the graph that the value of y corresponding to the value of x = -8 is slightly lower than 2.

Therefore, we can approximate the value of f(-8) as 1.8. (Answer)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4