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

Answer:

This is the graph of a linear function.

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

Step-by-step 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:

$m = \frac{y_3 - y_2}{x_3 - x_2}= \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-1 - (-2)}{4 - 0}= \frac{-2 - 0}{0 - 8}$

$m = \frac{-1 +2}{4}= \frac{-2}{- 8}$

$m = \frac{1}{4}= \frac{2}{8}$

$m = \frac{1}{4}= \frac{1}{4}$

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

Answer 2

Answer:

square root, (8,0)

Step-by-step explanation:

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