Tri-math-lon Relations and FunctionsRelations and Functions Writing Linear EquationsWriting Linear...

Tri-math-lonTri-math-lon• Relations and FunctionsRelations and Functions• Writing Linear EquationsWriting Linear Equations• GraphingGraphing

RulesRules•2 minutes to answer each question.2 minutes to answer each question.• If your team has an answer, stand If your team has an answer, stand

up when I call the next minute.up when I call the next minute.•Points are awarded for each correct Points are awarded for each correct

answer as follows:answer as follows:– 5 points in min. 15 points in min. 1– 3 points in min. 2 3 points in min. 2

•Extra credit is awarded to 1Extra credit is awarded to 1stst, 2, 2ndnd, , and 3and 3rdrd

Round 1 Question 1Round 1 Question 1

What is the following definition What is the following definition describing?describing?

A set of pairs of input and A set of pairs of input and output values that can output values that can be written as a set of be written as a set of

ordered pairs.ordered pairs.

Round 1 Question 2Round 1 Question 2

What is the domain of the What is the domain of the following relation? Write the following relation? Write the

domain using set notation.domain using set notation.

{(2, 4), (-3, 1), (2, 7), {(2, 4), (-3, 1), (2, 7), (0, 6)}(0, 6)}

Round 1 Question 3Round 1 Question 3

Map the relation below.Map the relation below.

{(2, 4), (-3, 1), (2, 7), {(2, 4), (-3, 1), (2, 7), (0, 6)}(0, 6)}

Round 1 Question 4Round 1 Question 4

What is the range of What is the range of the relation below in the relation below in

set notation?set notation?

{(2, 6), (-3, -5), (2, {(2, 6), (-3, -5), (2, 9), (0, 6)}9), (0, 6)}

Round 1 Question 5Round 1 Question 5

Is the following relation a Is the following relation a function? Explain why or why function? Explain why or why

not.not.

{(2, 4), (-3, -5), (2, 9), {(2, 4), (-3, -5), (2, 9), (0, 6)}(0, 6)}

Round 1 Question 6Round 1 Question 6

Is the following relation a Is the following relation a function? Explain why or why function? Explain why or why

not.not.

{(1, 6), (-8, -7), (3, 4), {(1, 6), (-8, -7), (3, 4), (0, 6)}(0, 6)}

Round 1 Question 7Round 1 Question 7

Map the relation and state Map the relation and state whether or not it is a whether or not it is a

function.function.

{(-2, 8), (-7, 5), (2, 9), {(-2, 8), (-7, 5), (2, 9), (5, 8)}(5, 8)}

Round 1 Question 8Round 1 Question 8Use the vertical-line test to Use the vertical-line test to

determine whether each determine whether each graph represents a graph represents a

function.function.

A)A) B) B)

Round 1 Question 9Round 1 Question 9

Evaluate the function Evaluate the function for f(6).for f(6).

f(c) = 5 – 7(c – 8)f(c) = 5 – 7(c – 8)

Round 1 Question Round 1 Question 1010

Evaluate the function Evaluate the function for g(-8).for g(-8).

g(x) = ½ x + 11g(x) = ½ x + 11

Round One Is Done!Round One Is Done!

Let’s check Let’s check

the scores…the scores…

Round 2 Question 1Round 2 Question 1

Write an equation for a Write an equation for a line in slope-intercept line in slope-intercept form with a slope of 8 form with a slope of 8 and a y-intercept of and a y-intercept of (0, - 5).(0, - 5).

Round 2 Question 2Round 2 Question 2

Write the equation for a Write the equation for a line in slope-intercept line in slope-intercept form passing through form passing through (0, 2) and parallel to y (0, 2) and parallel to y = 8x + 9.= 8x + 9.

Round 2 Question 3Round 2 Question 3

Write the equation for a Write the equation for a line in slope-intercept line in slope-intercept form passing through (0, form passing through (0, 13) and perpendicular to 13) and perpendicular to y = (2/3)x + 4. y = (2/3)x + 4.

Round 2 Question 4Round 2 Question 4

Write the equation for Write the equation for a line in point-slope a line in point-slope

form with a slope of (-form with a slope of (-7) passing through (-7) passing through (-

5, 12).5, 12).

Round 2 Question 5Round 2 Question 5

Write the equation for Write the equation for a line in point-slope a line in point-slope form that passes form that passes through (1, 2) and through (1, 2) and (14, 6).(14, 6).

Round 2 Question 6Round 2 Question 6

Write the standard Write the standard form of the form of the equation equation

y = (5/6)x - 3y = (5/6)x - 3

Round 2 Question 7Round 2 Question 7

Write the standard Write the standard form of the equation form of the equation of a line that passes of a line that passes through (1, 2) and has through (1, 2) and has a slope of 7.a slope of 7.

Round Two Is Round Two Is Through!Through!

Let’s check Let’s check

the scores…the scores…

Round 3 Question 1Round 3 Question 1

Graph the relation below.Graph the relation below.

{(2, 4), (-3, 1), (2, {(2, 4), (-3, 1), (2, 7), (0, 6)}7), (0, 6)}

Round 3 Question 2Round 3 Question 2

Graph the equationGraph the equation

y = 4x - 5y = 4x - 5

Round 3 Question 3Round 3 Question 3

Graph the equationGraph the equation

y = (-2/7)x + 1y = (-2/7)x + 1

Round 3 Question 4Round 3 Question 4

Graph the equationGraph the equation

y - 3 = -2(x + 6)y - 3 = -2(x + 6)

Round 3 Question 5Round 3 Question 5

Graph the equationGraph the equation

y + 1 = 3(x - 5)y + 1 = 3(x - 5)

Round 3 Question 6Round 3 Question 6

Graph the equationGraph the equation

4x + 2y = - 64x + 2y = - 6

Round 3 Question 7Round 3 Question 7

Graph the equationGraph the equation

5x - 3y = 95x - 3y = 9

Game Over!Game Over!

And the And the

winner is…winner is…