Functions and Graphs

Find the natural domain and graph the functions in Exercises 15–20.

g(x) = √−x

Functions and Graphs

Find the domain of y = (x + 3) / (4 − √(x² − 9)).

Functions and Graphs

Graph the following equations and explain why they are not graphs of functions of x.

a. |y| = x

Functions and Graphs

Graph the following equations and explain why they are not graphs of functions of x.

a. |x| + |y| = 1

Functions

In Exercises 1–6, find the domain and range of each function.

F(x) = √(5x + 10)

Functions

In Exercises 1–6, find the domain and range of each function.

f(t) = 4/(3 − t)

In Exercises 19–32, find the (a) domain and (b) range.

𝔂 = 4 sin ( 1 )

x

In Exercises 19–32, find the (a) domain and (b) range.

𝔂 = 2 + 3x² .

x² + 4