Question

Which statements comparing the functions are true? Select

three options.


Only f(x) and h(x) have y-intercepts.


Only f(x) and h(x) have x-intercepts.


The minimum of h(x) is less than the other minimums.


The range of h(x) has more values than the other ranges.


The maximum of g(x) is greater than the other maximums.

Answer 1

B, C and E

Explanation:

Given

See attachment for table

Required

Select two correct options

Checking the greatest maximum

The maximum of each function is:

`f(x) = 14`

`g(x) = 49`

`h(x) = 0`

Compare these three values, we have:

`g(x) > f(x) > h(x)`

Because:

`49 > 14 > 0`

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:

`f(0) = 0`

`h(0) = 0`

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:

`f(x) = -14`

`g(x) = (1)/(49)`

`h(x) = -28`

Compare these three values, we have:

`h(x) < f(x) < g(x)`

Because:

`-28 < -14 < (1)/(49)`

This means that h(x) has the least minimum --- option C