Question

The table shows input and output values for three functions.

Use the drop-down menus to complete each statement.



x-intercepts exist in the function(s)
.

y-intercepts exist in the function(s)
.

The function
has the lowest minimum.

The function
has the greatest maximum.

Answer 1

1. f(x) g(x) h(x)

2. f(x) g(x) h(x)

3. h(x)

4. f(x)

Explanation:

I guessed and it was correct.

Answer 2

x-intercepts exist in the 3 functions

y-intercepts exist in the 3 functions

The function h(x) has the lowest minimum.

The function f(x) has the greatest maximum.

Explanation:

Given

The attached table

Solving (a): x-intercepts

A function has x intercept if its y value equals 0.

From the table, we have:

`f(2)=0`

`g(4) = 0`

`h(2) = 0`

All functions have x intercept

Solving (b): y-intercepts

A function has y intercept if its x value equals 0.

From the table, we have:

`x = 0`

This applies to all functions in the table;

Hence, all functions have y intercept

Solving (c): Lowest minimum

The minimum of each function is:

`f(x) = -12`

`g(x) = -4`

`h(x) = -60`

The lowest minimum is: h(x) because:

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

i.e.

`-60 < -12 < -4`

Solving (d): Greatest maximum

The maximum of each function is:

`f(x) = 12`

`g(x) = 2`

`h(x) = 0`

The greatest maximum is: f(x) because:

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

i.e.

`12 > 2 > 0`