According to the graph of h(w) below, what happens when w gets close to zero?

The answer from apex says that it is A: gets very large.

The correct option is A) H(w) gets very large.

Step-by-step explanation:

Consider the provided graph of H(w)

If we observer the graph of the function H(w) we concluded that as the value of w moves toward 0 the value of H(w) increases rapidly.

The value of H(W) is getting higher and higher when we are moving towards 0.

Therefore we can say that

When

Hence, According to the graph of H(w) when w gets close to zero the value of H(w) gets very large.

Therefore, the correct option is A) H(w) gets very large.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752