Ch4L4 Linear Functions

Question 1

What is Linear Relation

Two ways to judge linear relationship or not, how to?

Given a linear equation, how many forms you remember?

How to graph linear equations in each form?

Question 2

About Function,

What is the difference between relation and function?

What is the domain and range of a function?

What is a Function Table?

How to make a Function Table?

How to calculate a function for a given number?

Question 3

What is a linear function?

Answer 3

A linear function is a function in which the graph of the solutions forms a straight line.

If the value of the function is Continuous Data, then we graph the function using a solid line.

If the value of the function is Discrete Data, then we graph the function using Dots.

Question 4

How to graph a Function?

Answer 4

Like equations, functions can be represented in words,table, graph, and also as ordered pairs.

And the graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

So how to draw a function?

We just find out the ordered pairs of the function, and then use these pairs as coordinates of points and connect these points.

Question 5

Graph y=x+2

Answer 5

Step 1: make a function table with ordered pairs

Step 2: graph each ordered pair then draw a line

Question 6

Graph y = 4x

Question 7

The school store sells book covers for $2 each and notebooks for $1.Tony has $5 he can use to buy things. The function

y = 5-2x

represents the number of book cover x and notebooks y he can buy.

Graph the function.

Answer 7

Step 1: make a function table with ordered pairs

Step 2: graph each ordered pair then draw a line

Question 8

A store sells assorted nuts for $6 per pound.

1. Write a function to represent the total cost of any number of pounds of nuts.
2. Make a function table to find the cost of 1,2,3,4,or 5 pounds of nuts.
3. Graph the function. Pay attention to use the right style of line.

Question 9

A cable company charges an installation fee of $50 plus an $12 monthly fee for service.

1. Write a function to represent the total cost of any number of months of service.
2. Make a function table to find the cost of 1,2,3,4,or 5 pounds of nuts.
3. Graph the function. Pay attention to use the right style of line.

Question 10

Ray is saving money for college.He already has $250 and he plans to save another $50 per month

1. Write a function to represent the total savings of any number of monthes.
2. Make a function table to find the cost of 2,4,6,8,or 10 months.
3. Graph the function. Pay attention to use the right style of line.

Question 11

The table below shows the cost to rent different items.

Item Deposit($) Cost per hour ($)

Bike 15 4.25

Scooter 25 2.5

Q1:write two function to represent each situation

Q2:Make two seperate function table for each case

Q3:Graph them in the same coordinate plane.

Q4:Compare after 8 hours, which one is more expensive

Question 12

Fancy goldfish x cost $3 each and common goldfish y cost $1 each. Function y = 20-3x is used to determine how many of each type of fish Richard can buy for $20 he had.

Graph this.