# Warm Up 1. Given the following piecewise function: 1. Evaluate it at f(-4) and f(8) 2. Is it continuous? 2. Given the equations f(x) = 5x 2 and g(x) =

• View
212

0

Tags:

Embed Size (px)

### Text of Warm Up 1. Given the following piecewise function: 1. Evaluate it at f(-4) and f(8) 2. Is it...

Slide 1

Warm UpGiven the following piecewise function:Evaluate it at f(-4) and f(8)Is it continuous?Given the equations f(x) = 5x2 and g(x) = 8x 5, answer the following questions: What is the inverse of g(x)?What is (f + g)(x)?What is (f/g)(3)?What is f(g(x))?What is (fg)(x)?Given the following piecewise function:Evaluate it at f(-4) and f(8)Is it continuous?

Given the equations f(x) = 5x2 and g(x) = 8x 5, answer the following questions: What is the inverse of g(x)?What is (f + g)(x)?What is (f/g)(3)?What is f(g(x))?What is (fg)(x)?

Quick review of modeling and regression and then its trashketball time!Review Day 1: Trashketball EditionImportant Topics to know for MidtermFactoringSolving literal equationsEvaluate and continuous piecewise functionsLogarithmsComposition, Operation, and Inverse FunctionsVertex, Vertex Form, and Zeroes (Real or Complex?) of Quadratic EquationsLinear and Quadratic RegressionParent FunctionsTransformationsAsymptotesDescribing a graph (Intervals Increasing and Decreasing, Critical Points, End Behavior, Even vs. Odd degree, Highest Power, Sign of Leading Coefficient)

What about the following problem?Larry the taxi driver charges a specific amount per ride. Bobby does not know the exact rate. However, Bobby does know that the rate is linearly related to the number of miles driven. He also knows that when Susie rode in Larrys taxi, she drove from Charlotte to Atlanta and Larry charged her \$490. The distance from Charlotte to Atlanta is 240 miles. Bobby also knows that Larry charged Henry \$1310 to travel from Charlotte to New York. The distance from New York to Charlotte is 650 miles.Write a linear equation that relates the number of miles driven to the price rate.

If Bobby has \$1000, does he have enough money to pay for a 500 mile cab ride?

Linear RegressionThe table above shows how far a swimmer has gone after jumping off the starting block during a race. Find the linear regression of the data.Is it a good fit? How do you know?According to this model, how long will it take the swimmer to go 50 meters?According to this model, a person who swims for 45 seconds should go how far?

Note: You know if a line of best fit is a good fit if the r/r2 value is close to one, or if your scatterplot in Stat Plot closely matches your line of best fit on the graph.Quadratic RegressionThe concentration (in milligrams per liter) of a medication in a patients blood as time passes is given by the data in the table above.Find the quadratic regression equation of the data.Is it a good fit? How do you know?What will the concentration be after 3 hours?When will the concentration in the blood be 0?

Note: If a question gives you an x value, plug it into your regression equation. If it gives you a y value, set Y1 = to your regression equation and Y2 = the given value. Find the intersection! Make sure your window will show you the intersection. If they dont intersect, it never happens.TrashketballI am splitting you into teams.

EVERY PERSON in your group must have a whiteboard and marker. In order for your group to get the chance to shoot, everyone must have all of the correct work and answer on their whiteboard when I count down.

When I count down from 5, everyone in your group must silently hold their whiteboards in the air to be eligible.

After each round, groups that earn a point for having all of the correct work and answers will earn the right to shoot for more points!

The more questions we get through, the better this review is and the more chances your group gets to shoot the ball!

Factorx2 + 6x 27 Solve for m.

Draw the Quadratic (f(x) = x2) parent function

Based on the graph below, is the piecewise function continuous? Why or why not?

Draw the Reciprocal (f(x) = 1/x) parent function

Factor4xy3 6x2y2 10x2y + 15x3Draw the Exponential (f(x) = ax) parent function

Evaluatelog879Draw the Square Root (f(x) = x) parent function

Solvelog2(x + 5) + 2log23 = log2(4x + 11)Draw the Cubic (f(x) = x3) parent function

Given the graph belowState the intervals where it is increasing.State the intervals where it is decreasing.Label the critical points and tell whether they are relative or absolute.Use limit notation to describe the end behaviors.What is the highest power in the equation.Is this an even or odd degree function? What is the sign of the leading coefficient?

Given the graph belowState the intervals where it is increasing.State the intervals where it is decreasing.Label the critical points and tell whether they are relative or absolute.Use limit notation to describe the end behaviors.What is the highest power in the equation.Is this an even or odd degree function? What is the sign of the leading coefficient?

What is the asymptote of the graph below?

How were the functions below transformed from their parent functions?f(x) = (x 3)2 + 5

f(x) = -(x3 1)Factor6x2 7x 5 Solvelog6x = 2 ##### Worksheet: Piecewise Functions · PDF file Lesson 9.8C: More Piecewise Functions g(x) = CLASSWORK Evaluate the function for the given value of x. —x2 + 4; 11. h(-l) Graph the function
Documents ##### MATH 136 Continuity: Limits of Piecewise- Defined · PDF fileMATH 136 Continuity: Limits of Piecewise-Defined Functions Given a piecewise-defined function that is “split” at some
Documents ##### Central Bucks School District ... f(x) = -X-I [email protected] -3 L Section 1.2a Graphing Piecewise Functions . (X-1)2-2 f(x) = f(x) = —4
Documents ##### MATHEMATICS II- Unit 5 Step and Piecewise II Unit 5 Step and...MATHEMATICS II- Unit 5 Step and Piecewise Functions Part 1 – Piecewise Functions Day 1 Piecewise Functions – Domain
Documents ##### About a stress deformation condition of a piecewise-uniform · PDF file 2019. 8. 1. · 246 Stress deformation condition of a piecewise-uniform wedge α+ α− ϑ M(r,ϑ) f+(r) f−(r)
Documents ##### P arametric Piecewise Linear Subspace Metho d for kazokada/research/okada_usc03_783_ppls.pdf · PDF fileP arametric Piecewise Linear Subspace Metho d for Pro cessing F acial Images
Documents ##### 1 Lyapunov Functions in Piecewise Linear Systems: From ... · PDF fileLyapunov function, global analysis on piecewise linear systems, stability of nonlinear systems. Piecewise linear
Documents ##### SECTION 1.5: PIECEWISE-DEFINED FUNCTIONS; LIMITS · PDF file(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.1 SECTION 1.5: PIECEWISE-DEFINED FUNCTIONS;
Documents ##### Piecewise Functions **I can graph Piecewise Functions** Piecewise Functions **I can graph Piecewise Functions**
Documents ##### Asymptotic Error Analysis wetton/papers/ Overview Some History More History: Strang’s Trick Piecewise Regular Grids Summary Cubic Splines • Given smooth f(x) on [0,1], spacing
Documents ##### Scanned with CamScanner - fileNYS COMMON CORE MATHEMATICS CURRICULUM ALGEBRA I JECTIVE: SWBAT graph piecewise functions by using the given domains. A step function is a piecewise function
Documents ##### Mixed-Mode Oscillations in a piecewise linear ... Mixed-Mode Oscillations in a piecewise linear system with multiple time scale coupling S. Fernandez-Garc´ıaa, , M. Krupab, F. Cl´ementa
Documents ##### Section 1.7 Piecewise Functions. Vocabulary Absolute Value Function – a piecewise function, written as f(x)=, where f(x) 0 for all values of x. Greatest
Documents ##### Asymptotic Error Analysis wetton/papers/ UBC IAMOverview Some History More History: Strang’s Trick Piecewise Regular GridsSummary Cubic Splines Given smooth f(x) on [0,1], spacing
Documents ##### Lesson 1: Graphs of Piecewise Linear Functions · PDF file Piecewise-Defined Linear Function: Given non-overlapping intervals on the real number line, a (real) piecewise linear function
Documents ##### STABILITY AND UNIQUENESS FOR PIECEWISE SMOOTH STABILITY AND UNIQUENESS FOR PIECEWISE SMOOTH SOLUTIONS TO BURGERS{HILBERT AMONG A LARGE CLASS OF SOLUTIONS SAM G. KRUPA AND ALEXIS F
Documents ##### Piecewise Functions - Belton Independent School Algebra 2 9-2 Piecewise Functions A piecewise function is a function that is a combination of one or more functions. Piecewise functions
Documents ##### 1.6 Piecewise Functions · PDF fileGraph each piecewise function. a) d) b) e) ... 52 1.6 Piecewise Functions NEL ... 4x 1 8, if x . 6 f(x) 5 e x2 2 k,if x ,2 1
Documents ##### Using splines in regression - GitHub · PDF file Piecewise quadratic and cubic models Suppose we want to estimate E(yjx) = f(x) using a piecewise quadratic model. For multiple knots
Documents ##### Algebra 2 YL 4.4 Graphing Piecewise Functions · PDF fileAlgebra 2 YL 4.4 Graphing Piecewise Functions Worksheet if x 2 f(x) = x if x > 2 . —4, —2 7. f(x) = 2x-2, x 3, 10. f(x)
Documents ##### piecewise-defined function piecewise-linear function step function · PDF file 2018-07-09 · Piecewise-Defined Function Step 1 Graph the linear function f(x) = x –1 for x ≤3
Documents Documents