Warm Up .

Slides:

Advertisements

Similar presentations

1-4 curve fitting with linear functions

Advertisements

EXAMPLE 4 Solve a multi-step problem The table shows the typical speed y (in feet per second) of a space shuttle x seconds after launch. Find a polynomial.

Identifying the general polynomial shape Example 1 General Rule: Basic polynomial function is one more that the number of direction changes.

FACTOR THE FOLLOWING: Opener. 2-5 Scatter Plots and Lines of Regression 1. Bivariate Data – data with two variables 2. Scatter Plot – graph of bivariate.

Scatter Plots and Line of Best Fit. DETERMINING THE CORRELATION OF X AND Y In this scatter plot, x and y have a positive correlation, which means that.

5.6.1 Scatter Plots and Equations of Lines. Remember our Stroop test? During the stroop test we used the tool called scatter plot A scatter plot is a.

Splash Screen. Lesson Menu Five-Minute Check (over Chapter 1) Then/Now New Vocabulary Key Concept:Monomial Functions Example 1:Analyze Monomial Functions.

Power and Radical Functions

CHAPTER curve fitting with linear functions.

Section 2.6 – Draw Scatter Plots and Best Fitting Lines A scatterplot is a graph of a set of data pairs (x, y). If y tends to increase as x increases,

Scatter Plots, Correlation and Linear Regression.

The sum or difference of monomial functions. (Exponents are non-negative.) f(x) = a n x n + a n-1 x n-1 + … + a 0 Degree of the polynomial is the degree.

Sec. 2-4: Using Linear Models. Scatter Plots 1.Dependent Variable: The variable whose value DEPENDS on another’s value. (y) 2.Independent Variable: The.

Pre Calc Review.  Appendix B-2 ◦ Plot points on a graph ◦ Find x and y intercepts  X intercepts (, 0)  Y intercepts ( 0, ) ◦ Graph equations with a.

Section 2-2 Power Functions. Section 2-2 power functions power functions variation variation some common power functions some common power functions graphs.

Regression and Median Fit Lines

5.8: Modeling with Quadratic Functions Objectives: Students will be able to… Write a quadratic function from its graph given a point and the vertex Write.

Plotting Data & the Finding Regression Line. Clear Old Data 2 nd MEM 4 ENTER.

1.6 Modeling Real-World Data with Linear Functions Objectives Draw and analyze scatter plots. Write a predication equation and draw best-fit lines. Use.

Solving Radical Equations and Inequalities Objective: Solve radical equations and inequalities.

Over Lesson 3-4 5–Minute Check 1 Solve 9 x – 2 = 27 3x. A. B.–1 C. D.

EXAMPLE 4 Solve a multi-step problem

Objectives Fit scatter plot data using linear models with and without technology. Use linear models to make predictions.

Lesson 15-7 Curve Fitting Pg 842 #4 – 7, 9 – 12, 14, 17 – 26, 31, 38

Warm Up: SIMPLIFY.

2.5 Scatter Plots & Lines of Regression

Graph and analyze power functions.

Week 7 Warm Up solve when x = 3 x3 - 2 a) 5 b) -5 c) ±5 d) 25

5.7 Scatter Plots and Line of Best Fit

Exercise 4 Find the value of k such that the line passing through the points (−4, 2k) and (k, −5) has slope −1.

Using linear regression features on graphing calculators.

2.5 Scatterplots and Lines of Regression

Day 13 Agenda: DG minutes.

7.5 Solving Radical Equations

4.8 Radical Equations and Power Functions

Warm Up 1. What is an equation of the line through the points (1, 6) and (-2, 3)? 2. Write an equation in slope-intercept form for the line that has a.

2-7 Curve Fitting with Linear Models Holt Algebra 2.

7.5 Solving Radical Equations

Warm Up What are the first 5 terms of a sequence with the following:

Equations of Lines and Modeling

6.4 Solving Radical Equations

7.5 Solving Radical Equations

Scatter Plots and Best-Fit Lines

Do Now Create a scatterplot following these directions

Section 1.4 Curve Fitting with Linear Models

5 minutes Warm-Up Solve. 1) 2) 3) 4).

Scatter Plots and Line of Best Fit

7.1 Draw Scatter Plots & Best-Fitting Lines

Chapter 4: Rational, Power, and Root Functions

Chapter 4: Rational, Power, and Root Functions

Warm-up 1. Graph 3x - 2y = 4 and find the x and y intercepts.

Objectives Vocabulary

12.3 Solving Radical Equations

7.5 Solving Radical Equations

9.6 Modeling with Trigonometric Functions

Draw Scatter Plots and Best-Fitting Lines

Can you use scatter plots and prediction equations?

15.7 Curve Fitting.

Finding Correlation Coefficient & Line of Best Fit

Presentation transcript:

Warm Up

Power and Radical Functions Unit 2 Day 1 Power and Radical Functions

And now we reflect

That’s Odd

An Odd Reflection

You are faster than the calculator

Where negatives are reciprocated

A Radical Idea

Solving radical Equations The two most important steps!!! Isolate the radical Eliminate the radical Then solve for x the way you normally would’ Check your x-values to make sure using them as input is valid!

Solve the radical equations

Power regression Say you are given a set of data points, and want to know what function defines or represents that data The data below represents the resting metabolic rate R in kilocalories per day for the mass m in kilograms of several animals What if we want to determine what the resting metabolic rate for a 60 kg animal would be?

Power regression Create a scatter plot of the points Use the PwrReg function on the graphing calculator to determine a fit for the plotted points Pay attention to the correlation coefficient If it looks like a good fit, graph the complete regression. In the y= menu, enter VARS, Statistics, EQ. Graph the regression and the scatter plot in the same window You can then use the equation to predict future f(x) values (using the CALC feature)

Now let’s try it 1554 So, what would the resting metabolic rate for an animal weighing 60 kg be?