Question

Of all the 8 parent functions, which ones have asymptotes? are they vertical or horizontal? How do you figure them out on a graph?

Answer 1

Linear function :Diagonal line -----> f(x)=x
Absolute value: “V” - shaped ---------> f(x)=!x!
Quadratic function: “U” - shape ---------> f(x) = x^2
Cubic Function: Squiggle, Swivel -----------> f(x) = x^3
Square Root Function: Horizontal ½ of a Parabola ------- >f(x)= square root(x)
Exponential Function: Backwards “L” Curves -----------> f(x)= f(x) = 2^x
Logarithmic Function: Upside Down “L” curve in 1st and 4th Quadrant