Alg 2/ Trig --> Graphing Calculator

Intersections

where 2 or more lines meet

How do you know when to solve for intersections?

When there is a absolute value bars

How do you solve for intersections on a calculator?

1) Press y= button and input y1, y2, etc. values

2) Press 2nd trace

3) Press 5: (Intersect)

4) Scroll to the intersection point with the flasher

5) Press enter 3x to get the intersection coordinates

When solving for intersections what do you input into the y1, y2, etc, values

The different parts of the equation that are separated by the symbols

How do you get to calculate on the calculator

2nd trace

How do you solve for X-intercepts

1) Isolate everything to one side of the equation and make the other side zero

2) Press 2nd trace

3) Press 2: (Zero)

4) Scroll leftbound of the x-int and press enter (makes line with an arrow )

4) Scroll rightbound of the x-int and press enter (makes line with an arrow )

5) Press enter to get answer

X-Intercepts

where the line meets the x-axis

How many ways can you evaluate a function on a calculator

4

When you cannot input a fraction what can you input instead

a decimal

What are the 4 ways you can evaluate a function on a calculator?

1) Manual Calculation

2) Using a Graph

3) Using Y-Vars

4) Using a Table

How do you evaluate a function on a calculator using manual calculation

enter the value that is given in the parentheses into all of the variables in the equation and solve

How can you get cube root on a calculator

Go to math

How to you evaluate a function on a calculator using a graph

1) Go to y= and type in the function

2) Press 2nd → TRACE → VALUE

3) You will see a graph and a prompt for x= in the left corner of the screen; type in the value

How do you evaluate a function on a calculator using a table?

1) Go to y= and type in the function

2) Press 2nd Window

3) Set Indpt to ASK

4) Press 2nd Graph and type in x values as needed

How do you reset the values to see things on a graph

Press window and adjust as needed

When not doing scatter plots what do you need to turn of in the y= area?

Plot 1

Regression

A regression equation in algebra is a mathematical model that represents the relationship between a dependent variable and one or more independent variables. It is typically written in the form of y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept. The regression equation allows us to predict the value of the dependent variable based on the values of the independent variable(s).

What form is a regressio equation written?

y = mx + b

What is the variable for the correlation coefficient

r

If r is close to 1 or -1 the model is considered…

a good fit

If r is close to 0 the model is considered…

a bad fit

If r = ±1 the model is considered…

a perfect fit

If r = 0,..

there is no linear relationship between the two variables

When is a correlation described as strong

0.8 or higher

When is a correlation described as weak

0.5 and less

How do you get to the table to enter the L1, L2, L3, etc. values

1) Press Stat

2) Press 1: Edit

How do you set up and graph a scatter-plot

1) Press 2nd → y=→Plot 1

2) Press Plot 1 → Enter

• Make sure It says on

• Make sure XList is L1

• Make sure YList is L2

How do you perform a regression

1) Press Stat → CALC → 4:LinReg(ax+b) OR 5:QuadReg

2) Press Enter

How do you find y when given x

1) Press 2nd trace →1: value

2) At the bottom of the screen type on the given value for x

How do you find the line of best fit for a scatter plot

Plug the regression equation into y= and press graph

How do you find x when given y

1) Press y= and go down to y2 and enter the given y value there

2) Press Graph

3) Press 2nd trace → 5:intersect → 3x

Linear Regresion Equation on a graph

Quadratic Regression Equation on a graph

Exponential Regression Equation on a graph