Question

The table shows three unique functions.

Which statements can be used to compare the functions?
Select two options.
1
X
4
-3
-2
-1
Only f(x) has an x-intercept.
f(x) g(x) h(x)
-19 8
0 -12 -6
-1 -7 4
-2 4 ---2
-2 4 .
Og(x) has liic yrealesi maximum.
1
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

A and E

Explanation:

Answer 2

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

Explanation:

We assume that the table represents the complete definitions of the functions of interest.

An x-intercept is a point where the y-value is 0. Only f(x) includes such a point: (-3, 0).

A y-intercept is a point where the x-value is 0. x=0 is not part of the domain of any of these functions, so there are no y-intercepts.

The maximum values of these functions are ...

• f(x): 1
• g(x): -4
• h(x): 2

so h(x) has the greatest maximum value.

The range of each function is the list of its table values. No two functions have the same range.

The domain of each function is the set of x-values for which it is defined. All of these functions have the same domain. That is, they are all defined for all of the x-values listed.

Of the descriptors offered, the two that apply are ...

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