Answer to Question #236691 in Calculus for CCW

Question

Sketch a graph of f(x) = x^7

a. Write the domain

b. Write the range

Answer 1

Let us sketch a graph of $f(x) = x^7:$

a. It follows from the definition of $f$ that the domain of $f$ is the set $\R$ of all real numbers.

b. Since each horizontal line crosses the graph, we conclude that the range of $f$ is also the set $\R$ of all real numbers.