Question

Which statements can be used to compare the functions? Select two options. Only f(x) has an x-intercept. g(x) has the greatest maximum. All three functions have a y-intercept. All three functions have the same range values. All three functions have the same domain values.

Answer 1

Answer:

Only f(x) has an x-intercept.

All three functions have the same domain values.

Step-by-step explanation:

Given

See attachment for table

Required

Select two correct options

Checking the domain:

The x values represent the domain.

From the attached table, we have:

$x = \{-4.-3,-2,-1,1\}$

These values of x apply to the three functions; f(x), g(x) and h(x).

This means that the functions have the same domain

Checking the greatest maximum

The maximum of each function is:

$f(x) = 1$

$g(x) = -4$

$h(x) = 2$

Compare these three values, we have:

$h(x) > f(x) > g(x)$

This means that h(x) has the greatest maximum

Checking the x intercept

When a function equals 0, then it has an x intercept

Of the three functions, we have:

$f(-3) = 0$ --- This represents the x intercept.

Other functions do not have this value.

This means that only f(x) has an x intercept