We are told that f(x) = x + 2. We want to find
.
Squaring f(x) on one side means we square x + 2 on the other.
So,
f(x) = x + 2
(f(x))² = (x + 2)²
= (x + 2)(x + 2)
We can use FOIL to square x + 2. The first terms multiply to x², the outside terms to 2x, the inside terms to 2x and the last terms to 4.
= x² + 2x + 2x + 4
= x² + 4x + 4
So [f(x)]² = x² + 4x + 4
The number of natural numbers less than n is n-1.
Natural numbers are whole and positive numbers that are not 0.
If n is 2, there is one natural number less than n... and that is 1.
If n is 5, there are four natural numbers less than n... which are 1, 2, 3, and 4.
B. No Histogram.
Part C:
Mean: 171.1
Median: 167.5
Mode: 164
Range: 51
Part D:
Minimum: 146
First Quartile: 164
Third Quartile: 186
Maximum: 197
E. No Box and Whisker Plot
Part F:
40th Percentile: 164.4