Question

The table shows input and output values for three functions.

Answer 1

Answer:

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

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

3. h(x)

4. f(x)

Step-by-step explanation:

I guessed and it was correct.

Answer 2

Answer:

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.

Step-by-step 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:

$h(x)$

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.

$12 > 2 > 0$