Given the following linear function sketch the graph of the function and find the domain and range.
1 answer:
Answer:
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
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the complete question in the attached figure
we have
$72 ------------------------------------ > for every television sold
$90 ------------------------------------ > for every computer sold.
let
x--------------------- > numbers of television sold
y--------------------- > numbers of computer sold
then
72x+90y >= $360 ----------- >72x/72+90y/72 >= $360 /72---- >x+1.25y >= $5
y >= (5-x)/1.25--------------see the graph in attached figure
case A---------- > (5,2) (3,3) (1,4)
72x+90y --------- > 72*5+90*2=540 >= 360----- > is solution
72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution
72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution
case B------------ > (4,0) (2,2) (1,1)
72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution
72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution
72x+90y --------- > 72*1+90*1=162 < 360----- > is not solution
case C------------ > (3,1) (2,2) (1,0)
72x+90y --------- > 72*3+90*1=306 < 360----- > is not solution
72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution
72x+90y --------- > 72*1+90*0=72 < 360----- > is not solution
case D------------ > (4,0) (3,3) (1,4)
72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution
72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution
72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution
<span>the answer is case A </span>
