Question

PLEASE HELP!! Consider the function shown on the graph.

Complete the statements to make them true.

This is the graph of a____ function.
The x-intercept of the function is at____

Answer 1

square root, (8,0)

Explanation:

i took the test

Answer 2

This is the graph of a linear function.

The x-intercept of the function is at (8,0)

Explanation:

Given

The attachment

Required

Fill in the gaps

Function Type

From the attachment, it can be observed that the graph represents a linear function. See proof below

Take any 3 points of x and y

`(x_1,y_1) = (8,0)`

`(x_2,y_2) = (0,-2)`

`(x_3,y_3) = (4,-1)`

Calculate the slope:

`m = (y_3 - y_2)/(x_3 - x_2)= (y_2 - y_1)/(x_2 - x_1)`

`m = (-1 - (-2))/(4 - 0)= (-2 - 0)/(0 - 8)`

`m = (-1 +2)/(4)= (-2)/(- 8)`

`m = (1)/(4)= (2)/(8)`

`m = (1)/(4)= (1)/(4)`

Notice that the slope is consistent for the three coordinate points.

Hence, the graph is a linear function

x intercept

This is the point where
`y = 0`

From the graph;

`x = 8` when
`y = 0`

Hence, the x intercept is 8