Answer:
B, C and E
Step-by-step explanation:
Given
See attachment for table
Required
Select two correct options
Checking the greatest maximum
The maximum of each function is:
[tex]f(x) = 14[/tex]
[tex]g(x) = 49[/tex]
[tex]h(x) = 0[/tex]
Compare these three values, we have:
[tex]g(x) > f(x) > h(x)[/tex]
Because:
[tex]49 > 14 > 0[/tex]
This means that g(x) has the greatest maximum --- option E
Checking the x intercept
When a function equals 0, then it has an x intercept
Of the three functions, we have:
[tex]f(0) = 0[/tex]
[tex]h(0) = 0[/tex]
g(x) do not equal 0, at all
This means that only f(x) and h(x) have x intercept --- option B
Checking the least maximum
The minimum of each function is:
[tex]f(x) = -14[/tex]
[tex]g(x) = \frac{1}{49}[/tex]
[tex]h(x) = -28[/tex]
Compare these three values, we have:
[tex]h(x) < f(x) < g(x)[/tex]
Because:
[tex]-28 < -14 < \frac{1}{49}[/tex]
This means that h(x) has the least minimum --- option C
