9 Functions that you Need to Know.

Take a deep breath and visualize the math...

What does the function of f(x)=x look like?

What does the function of f(x)=x² look like?

What does the function of f(x)=x³ look like?

What does the function f(x)=√(x) look like? That means square root.

Practice: If f(x)=x³, and our new function g(x)=-f(x)... what kind of transformation is happening?

Practice: If f(x)=x³, and our new function g(x)=-f(x)... This is reflection. What rule will this be? (x,y)-->( , )

What does y= |x| look like?

What does the function f(x)=(2x+3)/(x+1) look like? (Or any other rational expression for that matter)... What is a rational expression again?

What does f(x) = 1/x look like?

What does f(x)=2^x look like?

Practice: How do we make f(x)=5^x more workable? Why isn't it currently workable?

Practice: What is the relationship between logs and exponentials?

What is general name of this function, and shape? y=3^x?

What is the general name of this function, and shape? y=log_2(x)