Given the following linear function sketch the graph of the function and find the domain and range.
ƒ(x) = -3x + 7

see the procedure

Step-by-step explanation:

we have

This is the equation of a line in slope intercept form

where

----> the slope

----> the y-coordinate of y-intercept

To graph the line find out the intercepts

The y-intercept is the point (0,7) ----> given value

The x-intercept is the point (2.33,0) ---> Remember that the x-intercept is the value of x when the value of the function is equal to zero

with the points (0,7) and (2.33,0) sketch the graph

using a graphing tool

Plot the points and join to graph the line

see the attached figure

The domain is all real numbers

The range is all real numbers

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b