Question

1. What is a function?

2. How do you calculate the y-intercept of a function based on the graph, an equation, or 2 given points?
3. What is a composite function?

Answer 1

see explanation

Explanation:

1

A function is a relationship between 2 variables that gives exactly one output value for every input value.

2

From a graph the y- intercept is the value of the y- coordinate on the y- axis where the function crosses the y- axis.

If c is the y- intercept then its coordinates are (0, c )

Given an equation to find the y- intercept, let x = 0 in the equation and solve for y ( the y- intercept )

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given 2 points, calculate m using the slope formula, then obtain the equation using either of the 2 points. The y- intercept is then the value of c

3

The composition of functions is an operation in which you use one function as the input into another and perform the operations on that input function.

Given f(x) and g(x) then

f(g(x)) and g(f(x)) represents the composition of the functions