– WE WANT TO FIND AN EQUATION FOR THE GRAPH OF THE DEGREE 5 POLYNOMIAL FUNCTION AND LEAVE THE FUNCTION IN FACTORED FORM. BECAUSE WE HAVE A DEGREE 5 POLYNOMIAL FUNCTION WE KNOW WE HAVE AT MOST FIVE REAL RATIONAL ZEROS OR ROOTS. SO LET’S ANALYZE OUR GRAPH. NOTICE THE GRAPH ONLY HAS TWO X…

# Tag: algebra

## unit 3 test corrections 7 Derivative of absolute value functions

Right let’s take a look at question number seven we are to find F prime if F is the absolute value of three X plus two okay so there two possible solutions you can have for this the derivative of this function so the first one I’m going to be using the differentiation rule DDX…

## Finding a Rational Function from a Graph

mislead u ruled the republic simple finding a formula for rational function given a graph so there’s a few things he wanted attention first off i noticed that uh… couple vertical pass on throats at about three and negative one that’s good for me with the denominator single click says the denominator variational functional have…

## Ex: Decompose Functions

– WELCOME TO THREE EXAMPLES OF EXPRESSING A FUNCTION AS A COMPOSITE FUNCTION. YOUR DIRECTIONS MAY ALSO SAY DECOMPOSE A GIVEN FUNCTION. HERE WE’RE GIVEN H OF X =THE QUANTITY 2X + 3 RAISED TO THE 3rd POWER. WE WANT TO WRITE H OF X AS A COMPOSITE FUNCTION IN THE FORM F OF G…

## Ex 7: Find the Zeros of a Degree 5 Polynomial Function

– WE WANT TO FIND ALL THE ZEROS OF THE FUNCTION GIVEN ONE OF THE ZEROS IS +3I. SO FIRST THING WE SHOULD RECOGNIZE HERE IS THAT WE HAVE A DEGREE FIVE POLYNOMIAL, SO WE SHOULD HAVE FIVE COMPLEX ZEROS. NEXT, WE’RE GIVEN ONE ZERO AS 3I, WHICH WE CAN THINK OF AS 0 +…

## Graphing Rational Functions and Their Asymptotes

74) Graphing Rational Functions and Their Asymptotes Professor Dave again, let’s learn about asymptotes. We just learned how to graph higher degree polynomials, but we also need to graph rational functions. These are functions that are expressed as quotients of polynomial functions. This can make things a bit trickier for a number of reasons. First,…

## Ex: Evaluate Composite Functions from Graphs

– WE WANT TO DETERMINE THE COMPOSITE FUNCTION VALUES FROM THE GRAPHS OF FUNCTION F IN BLUE AND FUNCTION G IN RED. FROM THIS DEFINITION HERE, WE SEE THERE ARE TWO WAYS TO EXPRESS A COMPOSITE FUNCTION. I THINK IT’S GOING TO BE HELPFUL TO REWRITE THESE COMPOSITE FUNCTIONS USING A NOTATION GIVEN HERE ON…

## Ex: Find an Inverse Function From a Table

We want to find the inverse of a function, given here as a table. One way to think of an inverse function is a function that undoes. Or performs the opposite operation of the original function. So looking at function f. The x values are the inputs. And the y value are the outputs. So…

## Ex: Find the Linear Function Given Two Function Values in Function Notation

– HERE WE WANT TO DETERMINE THE EQUATION OF THE LINEAR FUNCTION GIVEN F OF -1=-7 AND F OF 2=-2. WHEN GIVEN FUNCTION VALUES IN FUNCTION NOTATION WE NEED TO RECOGNIZE THAT IF F OF -1=-7 THE INPUT OR THE X VALUE IS -1 AND THE OUTPUT OR THE FUNCTION VALUE OR Y WOULD BE…

## Function Transformation Summary – The Square Root Function

– WELCOME TO A LESSON ON THE TRANSFORMATIONS OF THE BASIC SQUARE ROOT FUNCTION. WE’LL START BY REVIEWING OUR BASIC FUNCTION F OF X=THE SQUARE ROOT OF X. IN BLUE WE HAVE THE GRAPH OF THE SQUARE ROOT FUNCTION BUT IF WE WANTED TO DETERMINE ACTUAL COORDINATES OF POINT ON THIS GRAPH WE WOULD COMPLETE…