Introduction to functions.

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MATH 171 (Chapter Summary)

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Introduction to functions.

Exponential Functions

f(x) = b^x. b is the base while x is the exponent.

A way you can figure out a problem is by using a table to solve for x,

example. f(x) = 3^x

exponential functions graph

intro to exponential functions

relations

set of input and output numbers that are similar/relation

Example.

Quadratic

Ex. 2^2 + 5x − 3 = 0

Sinusoidal Functions

to evaluate a sinusoidal function you must use the equation y = a sin (bx+c).

Subtopic

function notation

to evaluate function notation you must substitute the input for the function's variable. (replace x with the given number).

Ex. f (x) = 3x - 5, find f (4). You would substitute x for 4 and the equation would end up looking like f(4)=3(4)-5.

The way a function is written

Domain and range

Range

range refers to the possible inputs on the y-axis

Domain

domain refers to the possible inputs values on the x-axis