Graph of a Function

Yaser Rahmati | یاسر رحمتی

Step 1:

Choose a Range for $x$ Decide on a range of values for $x$ over which you want to plot the function. Let’s say you want to plot the function in the range of -5 to 5, so you have a feel for how the function behaves at different $x$ values.

Step 2:

Calculate the y-values Calculate the corresponding y-values for the chosen range of x. Evaluate the function ( $f(x) = x^5 - 30x^3 + 50x$ ) for each $x$ in the range. For example, for $x$ = -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, calculate the corresponding y-values using the function.

Step 3:

Plot the points with coordinates $(x,f(x)$ on a graph, using the calculated y-values from the previous step.

Step 4:

Connect the Points Connect the points to form the graph of the function.

Python

When you run this Python code, it will plot the graph of the function over the range of -5 to 5, showing how the function behaves for different values of x.

import sympy as sp

# Define the symbolic variable
x = sp.symbols('x')

# Define the function symbolically
f = x**5 -30*x**3 + 50*x

# Print the result
sp.plot(f , (x, -5, 5))

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