the table shows three unique functions. which statements can be used to compare the functions? select two…

Explanation:

Step 1: Check x-intercepts

An x-intercept occurs where ( f(x) = 0 ). For ( f(x) ), ( f(-3) = 0 ). Neither ( g(x) ) nor ( h(x) ) have 0 in their values for the given ( x ), so "Only ( f(x) ) has an x-intercept" is correct.

Step 2: Compare maximum values

Maximum values: ( f(x) ) max is 1, ( g(x) ) max is -4, ( h(x) ) max is 2. ( h(x) ) has the greatest maximum, so " ( g(x) ) has the greatest maximum" is incorrect.

Step 3: Check y-intercepts

A y-intercept requires ( x = 0 ), but ( x = 0 ) is not in the domain, so we cannot confirm y-intercepts exist. "All three functions have a y-intercept" is incorrect.

Step 4: Compare ranges

Ranges: ( f(x): {1, 0, -1, -2} ), ( g(x): {-19, -12, -7, -4} ), ( h(x): {-8, -6, -4, -2, 2} ). Ranges differ, so "All three functions have the same range values" is incorrect.

Step 5: Check domains

Domains for all functions are ( {-4, -3, -2, -1, 1} ), so "All three functions have the same domain values" is correct.

Answer:

Only ( f(x) ) has an x-intercept., All three functions have the same domain values.