How do you find the range of the function 4x+3y= −10 with a domain of x −1?

Question

How do you find the range of the function 4x+3y= −10 with a domain of x> −1?

jim_thompson5910 · Answer

First solve for y

4x+3y= -10

3y= -4x-10

y= -4/3x-10/3

So this is a linear equation where it slopes downward (as you read it from left to right)

jim_thompson5910 · Answer

To find the range, you plug in x = -1 and evaluate to find y. This will give you the largest  value in the range. The range will be the set of numbers smaller than this evaluated y value.

anonymous · Answer

So the range would be y< 4/3?

jim_thompson5910 · Answer

not quite

anonymous · Answer

Still a bit confused- what do I do after I plug in the x value? And why did I plug in the x value?

jim_thompson5910 · Answer

x = -1 is the endpoint of the domain

jim_thompson5910 · Answer

so plugging that into the equation will give you the endpoint of the range

anonymous · Answer

Okay I get that, so after you plug it in you get y = 4/3 − 10/3 so what comes next?

jim_thompson5910 · Answer

y = 4/3 − 10/3

y = (4-10)/3

y = ???

anonymous · Answer

y is 2??

jim_thompson5910 · Answer

close, y is -2

anonymous · Answer

Oh sorry i missed the negative sign but THANK YOU SO MUCH! I have a quiz tomorrow and I was confused!!

jim_thompson5910 · Answer

yw

anonymous · Answer

Hey just one more thing (sorry!)- How do I know whether it is < or >, like after i figure out the number value of y?