Question

Find the range of the function f(x)=4x-1 for the domain {-1,0,1,2,3}
how do I do this?

Answer 1

The range of the function is your extent of y values. The range will be the highest and lowest functions of y.
Plug in all the values of the domain, which are x, into the equation for x. If you plug in those values you will get {-5, -1, 3, 7, 11} so the range will be (-5, 11).

Answer 2

Domain is the set of x-values and range is the set of y-values.
So, to find the range, substitute each value of the domain in the given function f(x)=4x-1
Domain is {-1,0,1,2,3}
When x=-1, f(x)= 4(-1)-1 =-4-1 = -5
When x=0, f(x)=4(0)-1 = 0-1 =-1
When x=1, f(x) = 4(1)-1 = 4-1 = 3
When x=2, f(x) = 4(2)-1 =8-1 =7
When x=3, f(x) = 4(3) -1 =12-1 = 11
Therefore the range is {-5,-1,3,7,11}