G(x)=x2-5x-24

Replace the variable x with -3 in the expression.

f(-3)=((-3)-8)((-3)+3)

Simplify the result.

Subtract 8 from -3.

f(-3)=-11((-3)+3)

Add -3 and 3.

f(-3)=-11⋅0

Multiply -11 by 0.

f(-3)=0

Rewrite 0 as 02.

f(-3)=02

Pull terms out from under the radical, assuming positive real numbers.

f(-3)=0

The final answer is 0.

0

0

The y value at x=-3 is 0.

y=0

y=0

Replace the variable x with -4 in the expression.

f(-4)=((-4)-8)((-4)+3)

Simplify the result.

Subtract 8 from -4.

f(-4)=-12((-4)+3)

Add -4 and 3.

f(-4)=-12⋅-1

Multiply -12 by -1.

f(-4)=12

Rewrite 12 as 22⋅3.

Factor 4 out of 12.

f(-4)=4(3)

Rewrite 4 as 22.

f(-4)=22⋅3

f(-4)=22⋅3

Pull terms out from under the radical.

f(-4)=23

The final answer is 23.

23

23

The y value at x=-4 is 23.

y=23

y=23

Replace the variable x with -5 in the expression.

f(-5)=((-5)-8)((-5)+3)

Simplify the result.

Subtract 8 from -5.

f(-5)=-13((-5)+3)

Add -5 and 3.

f(-5)=-13⋅-2

Multiply -13 by -2.

f(-5)=26

The final answer is 26.

26

26

The y value at x=-5 is 26.

y=26

y=26

Replace the variable x with 8 in the expression.

f(8)=((8)-8)((8)+3)

Simplify the result.

Subtract 8 from 8.

f(8)=0((8)+3)

Add 8 and 3.

f(8)=0⋅11

Multiply 0 by 11.

f(8)=0

Rewrite 0 as 02.

f(8)=02

Pull terms out from under the radical, assuming positive real numbers.

f(8)=0

The final answer is 0.

0

0

The y value at x=8 is 0.

y=0

y=0

Replace the variable x with 9 in the expression.

f(9)=((9)-8)((9)+3)

Simplify the result.

Subtract 8 from 9.

f(9)=1((9)+3)

Multiply (9)+3 by 1.

f(9)=(9)+3

Add 9 and 3.

f(9)=12

Rewrite 12 as 22⋅3.

Factor 4 out of 12.

f(9)=4(3)

Rewrite 4 as 22.

f(9)=22⋅3

f(9)=22⋅3

Pull terms out from under the radical.

f(9)=23

The final answer is 23.

23

23

The y value at x=9 is 23.

y=23

y=23

Replace the variable x with 10 in the expression.

f(10)=((10)-8)((10)+3)

Simplify the result.

Subtract 8 from 10.

f(10)=2((10)+3)

Add 10 and 3.

f(10)=2⋅13

Multiply 2 by 13.

f(10)=26

The final answer is 26.

26

26

The y value at x=10 is 26.

y=26

y=26

List the points to graph.

(-3,0),(-4,3.46410161),(-5,5.09901951),(8,0),(9,3.46410161),(10,5.09901951)

Select a few points to graph.

xy-55.099-43.464-308093.464105.099

Graph G(x) = square root of x^2-5x-24