Problem 1
Problem 2
Does f(x) = x3 pass the horizontal line test?
Yes! f(x) = x3 passes the horizontal line test. Look at the graph. None of the red dotted lines crosses the graph of the function more than once. The inverse, f-1(x) = \(\small\mathsf{ \sqrt[3]{x} }\), is a function.
Does f(x) = x4 pass the horizontal line test?
No. f(x) = x4 does not pass the horizontal line test. Look at the graph. The red dotted lines cross the graph of the function more than once. The inverse, f-1(x) = \(\small\mathsf{ \sqrt[4]{x} }\), is not a function.
