Question

Let gbe a function such that g(x) = -2r + 5 and is defined on the domain (-1,3) State the range of this function in interval notation.​

Answer 1

The range interval is: (7, -1)

Explanation:

Given the function

g(x) = -2r+5

• As the domain is (-1, 3)

Let us put the domain values in the interval (-1, 3)

Putting x = -1

g(x)=-2r+5

= -2(-1)+5

= 2+5

= 7

Putting x = 0

g(x)=-2r+5

= -2(0)+5

=0+5

= 5

Putting x = 1

g(x)=-2r+5

= -2(1)+5

=-2+5

= 3

Putting x = 2

g(x)=-2r+5

= -2(2)+5

=-4+5

= 1

Putting x = 3

g(x)=-2r+5

= -2(3)+5

=-6+5

= -1

Thus the range interval is: (7, -1)