Write an equation for the function graphed above calculator

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Quick-Start Guide
How do you find the equation of a function from a graph?
How do I graph on a TI
How do you enter a function into a TI

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Write an equation for the function graphed below

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Video Transcript

Alright guys in this question we're gonna deal with rational a rational equation. So let's begin and I've already started writing this but let's begin with the ASM totes. So the first thing to, I like to begin with is finding the vertical ascent tops. So we can tell the vertical ascent toward right is right here at X is equal to negative three and X is equal to five. So for the denominator I can write I can write, I can tell that the denominator is X plus three and x minus five because when I have to write it as a factor I have, I have to use the factor of zero property. So X is equal to negative three because X plus three is equal to zero As well as X is equal to five because X -5 is equal to zero. So I got for now the denominator. The the other thing I need to deal with is with the horizontal and some top note that I got Y is equal to two on the graph. And since I need to have according to this graph, a horizontal handsome top. So I need to have the same degree, the same degree on the numerator, I can tell that the degree of the denominator is the second degree. So And as I have y is equal to chew, I can tell that the horizontal assim dope is X -2. I need to have the same degree on the Liberator as well as on the demanding later. So I can write X&X. That multiplies X -2 but not that there's a little stretch on the graph. The graph does not touch the line. Y is equal to two, so I have to stretch it by increasing Increasing the factor so two times x times x minus two over X plus three times x minus five. This is going to be our equation and I can tell that this is the equation, the rule for this function. Okay, And that's it and bye bye.

Quick-Start Guide

When you enter a function, the calculator will begin by expanding (simplifying) it. Next, the calculator will plot the function over the range that is given. Use the following guidelines to enter functions into the calculator.

Variables

You must use a lowercase ‘x’ as the independent variable.

Exponents

Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not be placed on numbers, brackets, or parentheses.

Parentheses and Brackets

Parentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression.

Multiplication, Addition, and Subtraction

For addition and subtraction, use the standard + and – symbols respectively. For multiplication, use the * symbol. A * symbol is not necessiary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x
+ 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying parentheses, example: (x + 1)(x – 1).

Order of Operations

The calculator follows the standard order of operations taught by most algebra books – Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not supported; attempts to use the / symbol will
result in an error.

Division, Square Root, Radicals, Fractions

The above features are not supported.

How do you find the equation of a function from a graph?

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x.

How do I graph on a TI

On the TI-83 and TI-84, this is done by going to the function screen by pressing the “Y=” button and entering the function into one of the lines. After the function has been entered, press the “GRAPH” button, and the calculator will draw the graph for you.

How do you enter a function into a TI

"" = Functions of the form y = f(x) can be entered into the TI-83/TI-84 Plus using the "Y menu. To access the "Y" menu, press the Y key. Type the expres- sion f(x) after Y, using the X,T,0,n key for the variable x and press ENTER.