Math Shorts with Caveman Chang

What does (f-g)(x) and (g-f)(x) mean? They’re the same as f(x)-g(x) and g(x)-f(x) respectively. How to subtract functions? Just subtract the functions like you would normally subtract numbers. Remember to distribute the negative sign. Subscribe to my channel for more videos like this!

What to do when asked to find a graph that represents the given function? Plug in 0 for x and find the graph that has the expected y value. Subscribe to my channel for more videos like this!

When given a piecewise function, how do you make sense of it? Learning how to read the piecewise function and solving for h(x) Subscribe to my channel for more videos like this!

What to do when you translate a point on a graph. Horizontal shifts will be added or subtracted from the x coordinate of the point. Vertical shifts will be added or subtracted from the y coordinate of the point. Subscribe to my channel for more videos like this!

How to simplify and combine exponents that have the same base. In this video, we combine all the exponents together because the base is all x. We then rewrite it as a positive exponent. This touches on your understanding of exponents. Subscribe to my channel for more videos like this!

Checking the graphs of piecewise functions to see if they are correct. Tips on what to look for. Subscribe to my channel for more videos like this!

Doing a proof in under 1 minute! Proving that z • conjugate[z] = |z|^2. You’ll see that the Pythagorean theorem pops up in this proof! Subscribe to my channel for more videos like this!

Dot product of two same size vectors u and v. Computing u•u, v•u, (v•u)/u•u Subscribe to my channel for more videos like this!

Demonstrating how to find the x and y value of the local minimum(s) of a function. Subscribe to my channel for other math shorts or full concept videos.

Super simple explanation of the different graph symmetries. Symmetries explained using 3 different examples. Please like, comment, and subscribe for more content like this!

Given the graph for h(x), we find the x and y values in under 1 minute! What is the value of h(0)? What is x where h(x) = -2? Subscribe for more videos like this!

Solving a quadratic equation using the quadratic formula in under 1 minute! w^2 - w - 2 = 0 Subscribe for more videos like this!

Solving a quadratic equation but fast! w^2 - w - 2 = 0 Subscribe for more videos like this!