Domain And Range Of Exponential Functions In Interval Notation

An exponential function where the inputs are all real numbers greater than 3 and at most 4 9 and the outputs are all real numbers greater than 0 but less than 80.

Domain and range of exponential functions in interval notation. Write the answer in interval notation. Open parentheses closed parentheses infinity imagine an 8 sideways negative infinity an 8 sideways with a negative sign in front of it and union a symbol similar to an elongated u. For many functions the domain and range can be determined from a graph.

The domain of exponential functions is all real numbers because there are no restrictions on the value of x. Remember that since the logarithmic function is the inverse of the exponential function the domain of logarithmic function is the range of exponential function and vice versa. A graph the relation y 3x 5 date d.

We first write the given function as an equation as follows. In interval notation there are five basic symbols to be familiar with. There is no power that you can raise something to that will make it 0 or change its sign.

Learn vocabulary terms and more with flashcards games and other study tools. With b. Infinity infinity set builder notation.

View interval notation worksheet pdf from math 101 at westlake high school. An understanding of toolkit functions can be used to find the domain and range of related functions. Interval values represented on a number line can be described using inequality notation set builder notation and interval notation.

Hence the range of the given function is given by y 2 or in interval form 2 see graph of f below and examine the range graphically. Graph the function g x 2 x 1 and give its domain and range using interval notation. Start studying domain and range interval notation set builder notation parent functions p3.