Question

Based on the graphs of functions fand g shown in the accompanying figure, what are all values of x between -3 and 3 for which f(x) = g(x)? I. -2 ≤ x ≤ 0II. 0 ≤ x ≤ 1III. 1 ≤ x ≤ 3A. I onlyB. II onlyC. III only D. I and IIE. II and III

Answer 1

D. I and II

The values that satisfies this condition

`f(x)\ge g(x)`

Are the values of y, or the Range that are higher than the values of g(x).

For these functions. we have

I. -2 ≤ x ≤ 0 True

Since according the graph all the values within this interval, f(x) is greater than or equal than f(x).

Because when x=-1 y= 4 for f(x)

for g(x) x=-1 y=2

II. 0 ≤ x ≤ 1 true

Because

f(x) when x= 0 y=6

g(x) when x=0 y=4

III. 1 ≤ x ≤ 3

f(x) when x= 1 y=6

g(x) when x=1 y=6