Question 54196
The domain is already stated.
Domain: {{{-1 < x <= 3}}}
The range is a little harder to determine.
The lowest {{{x}}} can be is close to -1, but not equal to.
y = 3(-1) - 7
y = -3 - 7 = -10
The range is greater than -10. {{{-10 < y}}}
Also, the greatest {{{x}}} can be is 3, and it can be equal to.
y = 3(3) - 7
y = 9 - 7 = 2
The range is less than or equal to two. {{{2 >= y}}}
Range: {{{-10 < y <= 2}}}
{{{graph(300,300,-0.999,3,-11,5,3x-7)}}}