Question

ALGEBRA HELP !!!!! PHOTO ATTACHED!!!!! Function f(x), represented by the graph, is _____. The value of f(150), rounded to the nearest hundredth, is _____.

first blank:
a)exponential
b)logarithmic
c)polynomial

second blank:
a)2.60
b)2.65
c)2.75
d)2.80

Answer 1

• b) logarithmic
• d) 2.80

Explanation:

The graph has a vertical asymptote at x=0, so cannot be either exponential or polynomial. It is a logarithmic function.

__

The curve passes through the points (6, 1) and (36, 2) suggesting the base of the logarithm is 6. (x increases by a factor of 6 to make y increase by 1.)

f(150) = log(150)/log(6) ≈ 2.7965 ≈ 2.80

The function graphed is logarithmic. The value of f(150) is about 2.80.