Once those boys get that syrup in ‘em, they get all antsy in their pantsy The snozzberries taste like snozzberries! That little guy? I wouldn’t worry about that little guy. Your never going to win with those thin little bird lips! Am I jumpin’ around all nimbly bimbly from tree to tree?

FUNCTIONS $100 (Question) Is the graph a function? Give a reason for your answer. (white dots are open circles)

FUNCTIONS $100 (Answer) Yes, it is a function because it passes the Vertical Line Test.

FUNCTIONS $200 (Question) The table shows the population in Africa (in millions) over a twenty-six year period. The line of best fit is Y = 11.3x – Find the population in 1982 to the nearest million and determine if it is interpolation or extrapolation. Year (after1900) Population (in millions)

FUNCTIONS $200 (Answer) 523 million people Interpolation

FUNCTIONS $300 (Question) Let f(x) = x 3 + 2x. Calculate f(-4).

FUNCTIONS $300 (Answer) -72

FUNCTIONS $400 (Question) Find the range of f(x) = 2x 2 - 3x - 10

FUNCTIONS $400 (Answer) All real numbers greater than or equal to

FUNCTIONS $500 (Question) Find the domain and range of H(x) = |3x + 2| + 6

FUNCTIONS $500 (Answer) Domain: all real numbers Range: all real numbers > 6

QUADRATIC MODELS $100 (Question) How many points do you need to determine a quadratic function? Why?

QUADRATIC MODELS $100 (Answer) Three points, because if you only have two points, it is unclear if the parabola points up or down.

QUADRATIC MODELS $200 (Question) The following points are on a parabola. Find the quadratic model that fits the data. (0, -5), (2, 9), (4, 47), (6, 109)

QUADRATIC MODELS $200 (Answer) Y = 3x 2 + x - 5

QUADRATIC MODELS $300 (Question) Find both x-intercepts for the quadratic function: f(x) = -3x x – 50 Round to the nearest hundredth.

QUADRATIC MODELS 300 (Answer) 1.31 and 12.69

QUADRATIC MODELS $400 (Question) Determine if a quadratic or linear model represents the data better x-2012 y

QUADRATIC MODELS $400 (Answer) Y = 7x – 7; r 2 = f(x) = -3x 2 + 7x – 1; r 2 = 1 Quadratic Model

QUADRATIC MODELS $500 Question Write a system of equations to represent a parabola which goes through the following points: (4, 9), (10, 16), (16, 38)

QUADRATIC MODELS $500 Answer 9 = 16a + 4b + c 16 = 100a + 10b + c 38 = 256a + 16b + c

STEP FUNCTIONS, ERRORS & CONTINUITY $100 Question Evaluate h(x) = ┌ 2x ┐ + 4 for h( -3 / 4 )

STEP FUNCTIONS, ERRORS & CONTINUITY $100 Answer 3

STEP FUNCTIONS, ERRORS & CONTINUITY $200 Question Al’s Able Airways has a frequent flier program in which passengers earn a free trip for every 15,000 miles traveled. Write a formula for the number of free trips (T) you get if you fly m miles.

STEP FUNCTIONS, ERRORS & CONTINUITY $200 Answer T = └ m/15000 ┘

STEP FUNCTIONS, ERRORS & CONTINUITY $300 Question Graph the following split domain function. f(x) = 3x + 2, x > 0 -x, x < 0

STEP FUNCTIONS, ERRORS & CONTINUITY $300 Answer

STEP FUNCTIONS, ERRORS & CONTINUITY $400 Question The table shows years (after 1900) and the percentage of women who were working that year. The line of best fit is w =.804y – 14.1 What is the error in the predicted value for 1975? Year (after 1900) % of Women

STEP FUNCTIONS, ERRORS & CONTINUITY $400 Answer Actual – Predicted = Error -0.2%

STEP FUNCTIONS, ERRORS & CONTINUITY $500 Question Write the rules that define the split domain function graphed below.

STEP FUNCTIONS, ERRORS & CONTINUITY $500 Answer

HEIGHT & BEST FIT LINES $100 Question How high is a baseball following the model h(t) = -16 t t + 3 after four seconds in the air?

HEIGHT & BEST FIT LINES $100 Answer 47 feet

HEIGHT & BEST FIT LINES $200 Question Find the line of best fit for the following points: (0, 0.33), (1, 0.6), (5, 1.68), (11, 3.3) Write all decimals given for your slope and y-intercept.

HEIGHT & BEST FIT LINES $200 Answer Y = 0.27x

HEIGHT & BEST FIT LINES $300 Question Calculate the center of gravity for the following data (round to the nearest hundredth) Year (after 1900) % of Women

HEIGHT & BEST FIT LINES $300 Answer (74.71, 45.94%)

HEIGHT & BEST FIT LINES $400 Question A bottle rocket is launched from the ground at an initial velocity of 150 ft/sec. Write a formula to represent height h(t) in feet after t seconds of flight.

HEIGHT & BEST FIT LINES $400 Answer h(t) = -16 t t + 0

HEIGHT & BEST FIT LINES $500 Question Calculate the maximum height of a baseball modeled by the formula: h(t) = -16 t t + 3 Round to the nearest hundredth of a foot.

HEIGHT & BEST FIT LINES $500 Answer feet

CORRELATION & LINEAR FUNCTIONS $100 Question U.S. coal production (in tens of millions) from 1973 to 1982 is represented by P = 2.9y – where y is years after What does it predict the production to be in the year 2000?

CORRELATION & LINEAR FUNCTIONS $100 Answer ten millions OR 1,371,000,000

CORRELATION & LINEAR FUNCTIONS $200 Question A linear model y = -15x has r 2 = 0.4 Find the correlation coefficient to the nearest hundredth and explain if it is strong or weak, positive or negative. Sample: 0.33 Weak positive correlation

CORRELATION & LINEAR FUNCTIONS $200 Answer Relatively strong negative correlation

CORRELATION & LINEAR FUNCTIONS $300 Question Write a slope-intercept equation of the line that contains the points (7, 8) and (11, 20).

CORRELATION & LINEAR FUNCTIONS $300 Answer y = 3x - 13

CORRELATION & LINEAR FUNCTIONS $400 Question Find the correlation coefficient for the line of best fit through the points (round to the nearest ten thousandth): (1, 4), (4, 15), (8, 3)

CORRELATION & LINEAR FUNCTIONS $400 Answer

CORRELATION & LINEAR FUNCTIONS $500 Question Explain which correlation coefficient is the weakest and why

CORRELATION & LINEAR FUNCTIONS $500 Answer because it is the closest to 0. Zero represents no correlation at all. The closer you get to 1 or -1, the stronger the linear relation.

FINAL JEOPARDY Write the rules for the following split domain function. Cost C is a function of driving m miles. Hertz rent-a-car charges $20 to rent a compact car if you drive 100 miles or less. For each mile (or part of a mile) over 100, you get charged 5 cents.

FINAL JEOPARDY ANSWER OR