How Do You Graph a Polynomial Function by Making a Table?

f(x) is a function that is dependent on 'x'
The f(x) column represents the values we get when we plug each x-value into f(x) = x⁵-2x³+1
The values for f(x) are y-values
The ordered pairs generated from -0.5 and 0.5 will give a better idea of how the graph looks near the origin

1. Choose x-values to plug into f(x) to get an idea how the graph looks
1. Choose x-values to plug into f(x) to get an idea how the graph looks
2. Remember, f(x) = x⁵-2x³+1
3. Let's choose -2, -1, 0, 1, and 2 for our x-values
1. We picked the x-values of -2, -1, 0, 1, and 2
2. Remember, f(x) = x⁵-2x³+1
3. Don't forget that you have to raise the negative sign to the power too
1. We found ordered pairs by plugging in x-values into f(x) = x⁵-2x³+1
2. The ordered pairs are:
3. (-2,-15)
4. (-1,2)
5. (0,1)
6. (1,0)
7. (2,17)
1. Plotting the initial five points didn't give a clear enough picture
2. We need to pick values that will help get us a better picture of what's going one between when x is -1 and 1
3. Plot the point (-0.5,1.28125) on our graph
4. Then, plot the point (0.5,0.78125) on the graph
1. Connect the points that we just plotted to graph the function

Graph f(x) = x5 - 2x3 + 1.