How to Solve Plotting Issues in Mathematica 7?

[k_squared]

[solved] Mathmatica 7... Plotting Issue

Homework Statement

Plot the point (-3,f(-3)) on the same graph as f (using Mathmatica 7.)

Homework Equations

f(x)=x^3+4x^2-6

The Attempt at a Solution

A red box, or a graph without a box:
Graphics[Point[{5, 10}], Plot[x^2, {x, -15, 15}, PlotRange -> {-10, 10}]]

Depending on the order of Point and Plot.

And thanks for any help!

FIXED:

I don't have it in front of me, but try to remember,

mygraph = Plot[x^3+4x^2-6, {-15, 15}, PlotRange -> {-10, 10}]]
mypoint=Graphics[Point[{3,#^3+#x^2-6&[-3]}]]
Show[mygraph, mypoint]

You can ignore the plotrange stuff.

 

[mighty2000]

Hello,

Thank you for bringing this issue to our attention. I am a scientist who specializes in using Mathematica for data analysis and visualization. I understand that you are having trouble plotting a point on the same graph as your function f(x). Let me walk you through the steps to solve this issue.

First, we need to define our function f(x) using the syntax f[x_]:=x^3+4x^2-6. This tells Mathematica that f is a function of x and the right side of the equation is the expression for f(x). Next, we need to plot our function using the Plot function, which takes in the function and the range of x values to plot. In this case, we will plot f(x) from -15 to 15 using the syntax Plot[f[x], {x, -15, 15}]. This will give us the graph of f(x).

Now, to plot the point (-3,f(-3)), we need to use the Graphics function and specify the point using the Point function. The syntax for this is Graphics[Point[{x, y}]], where x and y are the coordinates of the point. In this case, x=-3 and y=f(-3). Since we have already defined f(x), we can simply write f[-3] to get the value of f(-3). Putting it all together, we get Graphics[Point[{-3, f[-3]}]].

Finally, we need to combine the two plots using the Show function, which takes in the two plots as arguments. The final code will look like this:

f[x_]:=x^3+4x^2-6
Plot[f[x], {x, -15, 15}]
Graphics[Point[{-3, f[-3]}]]
Show[%, %%, PlotRange -> {-10, 10}]

The % and %% symbols refer to the previous plots, so we don't have to type them again. The PlotRange option is used to adjust the range of the y-axis to include the point we plotted.

I hope this helps you plot your point successfully. Let me know if you have any further questions. Happy plotting!