Question

plot the function f(x)=x^3/3 - x

Answer 1

Use this: https://www.desmos.com/calculator

Answer 2

what if I were on a test?

Answer 3

the solution is approximately 1.5874010519682 which rounds to 1.6

Answer 4

solution? I need the graph of the function, how to do the sketch

Answer 5

Use the website then copy & paste your equation in the left-hand box.

Answer 6

Well the line is on the x-axis.

Answer 7

I know these sites, but I want to know how to do it without a tool

Answer 8

Are you in Calculus? Calculus makes the graphing of this particular equation a bit easier.

Answer 9

no

Answer 10

Then I'd start by first figuring out where the zeros are. That is, where the function will cross the x-axis. To do that, set the equation = to 0 and solve
x^3/3 - x = 0
x(x^2 -1) = 0
x(x +1)(x-1)=0
x = 0 or x = -1 or x = 1............mark dots on the x-axis at these points

Answer 11

yeah, i did this

Answer 12

the problem was to fin min/max between the zeros

Answer 13

ah...ok! you want to find f(-1/2) and f(1/2) .
That will tell us where the graph will reach its minimums and maximums between those zeros.

Answer 14

exactly in the middle of -1 and 0, 0 and 1?

Answer 15

I get f(-1/2) = 11/24 and f(1/2) = -11/24
So the graph will look like this