Use the line tool to graph the function. f(x)=1/2x−3

The graph in the attached figure

Step-by-step explanation:  

we have

This is the equation of a line in slope intercept form

we know that

To graph a line we need tow points

Find the intercepts

Find the y-intercept

The y-intercept is the value of the function when the value of x is equal to zero

For x=0

The y-intercept is the point (0,-3)

Find the x-intercept

The x-intercept is the value of x when the function is equal to zero

For f(x)=0

The x-intercept is the point (6,0)

Plot the intercepts and joint the points to graph the line

The graph in the attached figure

range =5

step-by-step explanation:

to find the range, we take the largest value and subtract the smallest value.

the largest value is 5

the smallest value is 0

the range is 5-0   =5

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)