# Graph -0.2x^3-0.7x^2+4x-4

-0.2×3-0.7×2+4x-4
Find the point at x=0.
Replace the variable x with 0 in the expression.
f(0)=-0.2(0)3-0.7(0)2+4(0)-4
Simplify the result.
Simplify each term.
Raising 0 to any positive power yields 0.
f(0)=-0.2⋅0-0.7(0)2+4(0)-4
Multiply -0.2 by 0.
f(0)=0-0.7(0)2+4(0)-4
Raising 0 to any positive power yields 0.
f(0)=0-0.7⋅0+4(0)-4
Multiply -0.7 by 0.
f(0)=0+0+4(0)-4
Multiply 4 by 0.
f(0)=0+0+0-4
f(0)=0+0+0-4
f(0)=0+0-4
f(0)=0-4
Subtract 4 from 0.
f(0)=-4
f(0)=-4
-4
-4
Convert -4 to decimal.
y=-4
y=-4
Find the point at x=-2.
Replace the variable x with -2 in the expression.
f(-2)=-0.2(-2)3-0.7(-2)2+4(-2)-4
Simplify the result.
Simplify each term.
Raise -2 to the power of 3.
f(-2)=-0.2⋅-8-0.7(-2)2+4(-2)-4
Multiply -0.2 by -8.
f(-2)=1.6-0.7(-2)2+4(-2)-4
Raise -2 to the power of 2.
f(-2)=1.6-0.7⋅4+4(-2)-4
Multiply -0.7 by 4.
f(-2)=1.6-2.8+4(-2)-4
Multiply 4 by -2.
f(-2)=1.6-2.8-8-4
f(-2)=1.6-2.8-8-4
Simplify by subtracting numbers.
Subtract 2.8 from 1.6.
f(-2)=-1.2-8-4
Subtract 8 from -1.2.
f(-2)=-9.2-4
Subtract 4 from -9.2.
f(-2)=-13.2
f(-2)=-13.2
-13.2
-13.2
-13.2
Find the point at x=-1.
Replace the variable x with -1 in the expression.
f(-1)=-0.2(-1)3-0.7(-1)2+4(-1)-4
Simplify the result.
Simplify each term.
Raise -1 to the power of 3.
f(-1)=-0.2⋅-1-0.7(-1)2+4(-1)-4
Multiply -0.2 by -1.
f(-1)=0.2-0.7(-1)2+4(-1)-4
Raise -1 to the power of 2.
f(-1)=0.2-0.7⋅1+4(-1)-4
Multiply -0.7 by 1.
f(-1)=0.2-0.7+4(-1)-4
Multiply 4 by -1.
f(-1)=0.2-0.7-4-4
f(-1)=0.2-0.7-4-4
Simplify by subtracting numbers.
Subtract 0.7 from 0.2.
f(-1)=-0.5-4-4
Subtract 4 from -0.5.
f(-1)=-4.5-4
Subtract 4 from -4.5.
f(-1)=-8.5
f(-1)=-8.5
-8.5
-8.5
-8.5
Find the point at x=1.
Replace the variable x with 1 in the expression.
f(1)=-0.2(1)3-0.7(1)2+4(1)-4
Simplify the result.
Simplify each term.
One to any power is one.
f(1)=-0.2⋅1-0.7(1)2+4(1)-4
Multiply -0.2 by 1.
f(1)=-0.2-0.7(1)2+4(1)-4
One to any power is one.
f(1)=-0.2-0.7⋅1+4(1)-4
Multiply -0.7 by 1.
f(1)=-0.2-0.7+4(1)-4
Multiply 4 by 1.
f(1)=-0.2-0.7+4-4
f(1)=-0.2-0.7+4-4
Subtract 0.7 from -0.2.
f(1)=-0.9+4-4
f(1)=3.1-4
Subtract 4 from 3.1.
f(1)=-0.9
f(1)=-0.9
-0.9
-0.9
-0.9
Find the point at x=2.
Replace the variable x with 2 in the expression.
f(2)=-0.2(2)3-0.7(2)2+4(2)-4
Simplify the result.
Simplify each term.
Raise 2 to the power of 3.
f(2)=-0.2⋅8-0.7(2)2+4(2)-4
Multiply -0.2 by 8.
f(2)=-1.6-0.7(2)2+4(2)-4
Raise 2 to the power of 2.
f(2)=-1.6-0.7⋅4+4(2)-4
Multiply -0.7 by 4.
f(2)=-1.6-2.8+4(2)-4
Multiply 4 by 2.
f(2)=-1.6-2.8+8-4
f(2)=-1.6-2.8+8-4
Subtract 2.8 from -1.6.
f(2)=-4.4+8-4
f(2)=3.6-4
Subtract 4 from 3.6.
f(2)=-0.4
f(2)=-0.4
-0.4
-0.4
-0.4
The cubic function can be graphed using the function behavior and the points.
xy-2-13.2-1-8.50-41-0.92-0.4
The cubic function can be graphed using the function behavior and the selected points.
Rises to the left and falls to the right
xy-2-13.2-1-8.50-41-0.92-0.4
Graph -0.2x^3-0.7x^2+4x-4