# How do you graph the function #f(x) = –x^3 + 2#?

Refer Explanation Section.

Given -

y = #-x^3 +2

Take a few x values on either side of x = 0 . Calculate corresponding y values.

Plot the pairs. Join them with the help of a smooth curve.

x: y -3: 29 -2: 10 -1 :3 0 :2 1 :1 2 :-6 3 : graph{-x^3+2 [-10, 10, -5, 5]} -25

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To graph the function f(x) = -x^3 + 2:

- Choose a range of x-values to plot on the graph.
- Substitute each x-value into the function to find the corresponding y-value.
- Plot the points (x, y) on the graph.
- Connect the points smoothly to form the curve of the function.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- How do you plot the point S(0,0)?
- For what value of K , y=6x+k is a tangent to curve y=7x^1/2?
- What is the slope of the line passing through the following points: #(8,-4) , (2,-3)#?
- How do you find the x and y intercepts for #y = -2x + 6#?

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