# Graph (3b^2+4)-(8b^2-9+b^4) (3b2+4)-(8b2-9+b4)
Find the point at x=-2.
Replace the variable x with -2 in the expression.
f(-2)=-5(-2)2+13-(-2)4
Simplify the result.
Simplify each term.
Raise -2 to the power of 2.
f(-2)=-5⋅4+13-(-2)4
Multiply -5 by 4.
f(-2)=-20+13-(-2)4
Raise -2 to the power of 4.
f(-2)=-20+13-1⋅16
Multiply -1 by 16.
f(-2)=-20+13-16
f(-2)=-20+13-16
f(-2)=-7-16
Subtract 16 from -7.
f(-2)=-23
f(-2)=-23
-23
-23
Convert -23 to decimal.
y=-23
y=-23
Find the point at x=-1.
Replace the variable x with -1 in the expression.
f(-1)=-5(-1)2+13-(-1)4
Simplify the result.
Simplify each term.
Raise -1 to the power of 2.
f(-1)=-5⋅1+13-(-1)4
Multiply -5 by 1.
f(-1)=-5+13-(-1)4
Multiply -1 by (-1)4 by adding the exponents.
Multiply -1 by (-1)4.
Raise -1 to the power of 1.
f(-1)=-5+13+(-1)(-1)4
Use the power rule aman=am+n to combine exponents.
f(-1)=-5+13+(-1)1+4
f(-1)=-5+13+(-1)1+4
f(-1)=-5+13+(-1)5
f(-1)=-5+13+(-1)5
Raise -1 to the power of 5.
f(-1)=-5+13-1
f(-1)=-5+13-1
f(-1)=8-1
Subtract 1 from 8.
f(-1)=7
f(-1)=7
7
7
Convert 7 to decimal.
y=7
y=7
Find the point at x=0.
Replace the variable x with 0 in the expression.
f(0)=-5(0)2+13-(0)4
Simplify the result.
Simplify each term.
Raising 0 to any positive power yields 0.
f(0)=-5⋅0+13-(0)4
Multiply -5 by 0.
f(0)=0+13-(0)4
Raising 0 to any positive power yields 0.
f(0)=0+13-0
Multiply -1 by 0.
f(0)=0+13+0
f(0)=0+13+0
f(0)=13+0
f(0)=13
f(0)=13
13
13
Convert 13 to decimal.
y=13
y=13
Find the point at x=1.
Replace the variable x with 1 in the expression.
f(1)=-5(1)2+13-(1)4
Simplify the result.
Simplify each term.
One to any power is one.
f(1)=-5⋅1+13-(1)4
Multiply -5 by 1.
f(1)=-5+13-(1)4
One to any power is one.
f(1)=-5+13-1⋅1
Multiply -1 by 1.
f(1)=-5+13-1
f(1)=-5+13-1
f(1)=8-1
Subtract 1 from 8.
f(1)=7
f(1)=7
7
7
Convert 7 to decimal.
y=7
y=7
Find the point at x=2.
Replace the variable x with 2 in the expression.
f(2)=-5(2)2+13-(2)4
Simplify the result.
Simplify each term.
Raise 2 to the power of 2.
f(2)=-5⋅4+13-(2)4
Multiply -5 by 4.
f(2)=-20+13-(2)4
Raise 2 to the power of 4.
f(2)=-20+13-1⋅16
Multiply -1 by 16.
f(2)=-20+13-16
f(2)=-20+13-16
f(2)=-7-16
Subtract 16 from -7.
f(2)=-23
f(2)=-23
-23
-23
Convert -23 to decimal.
y=-23
y=-23
The 4th degree function can be graphed using the function behavior and the points.
xy-2-23-17013172-23
The 4th degree function can be graphed using the function behavior and the selected points.
Falls to the left and falls to the right
xy-2-23-17013172-23
Graph (3b^2+4)-(8b^2-9+b^4)     