Kategorier: Alla - functions - notation - domain - range

av Mya Morgan - Sandalwood Heights SS (2442) för 4 årar sedan

477

Introduction to functions.

The text delves into various types of mathematical functions, starting with a general introduction to functions and their notations. It explains the concepts of domain and range, where the domain refers to all possible input values on the x-axis, and the range refers to possible output values on the y-axis.

Introduction to functions.

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