EXEXPLORE 1B Recognizing Linear FunctionsO ReadRead the section below and complete the following activity (adapted from Lesson 5.1).form by the equation Ax + By = C, where A, B, and C are real numbers.Examples:Linear functions can be represented in slope-intercept form by the equation y = mx + b, where x isThese are NOT linear functions:no variableWhen linear functions are written as an equation, thefollowing is true of the x-and y-coordinates:2 + 4 = 6x² = 9exponent of x > 1o xand y both have exponents of 1,x and y multiplied togetherx and y are not multiplied together,o xand y do not appear in denominators, exponentsxy = 86 = 3x in denominatoror radicands.2Y = 8y in exponentVỹ = 5y in a square rootIdentifying Linear Functions from Equations3. Tell whether each function is linear or not.YesNoA. 14 = 2VxB. y+ 2 = 3x – 9С. 14 %3Identifying Linear Functions from a Set of Points4. Identify whether each set of points represents a linear function. Use the table to reorganize the data, anduse arrows to show growth over intervals.{ (1,0), (2, 3), (3, 10), (4, 21) }{ (3,5), (5, 4), (7, 3), (9, 2) }yLinear functions growby equal differencesover equal intervals.O Linear FunctionO Not a Linear FunctionO Linear FunctionO Not a Linear FunctionlifelongAlgebra 14

14 =2x is not a linear function because x in a square root.y+2 = 3x-9→ 3x-y = 11 is a linear…

3. Tell whether each function A. 14 = 2Vx B. y+ 2 = 3x - 9 28 C. 14 = 4. Identify whether each set of points represents a linear function. Use the table to reorganize the data, and use arrows to show growth over intervals. Identifying Linear Functions from a Set of Points {(1, 0), (2, 3), (3, 10), (4, 21) } { (3,5), (5, 4), (7,3), (9, 2) } y y Linear functions grow by equal differences over equal intervals. O Linear Function O Not a Linear Function O Linear Function O Not a Linear Function

3. Tell whether each function A. 14 = 2Vx B. y+ 2 = 3x - 9 28 C. 14 = 4. Identify whether each set of points represents a linear function. Use the table to reorganize the data, and use arrows to show growth over intervals. Identifying Linear Functions from a Set of Points {(1, 0), (2, 3), (3, 10), (4, 21) } { (3,5), (5, 4), (7,3), (9, 2) } y y Linear functions grow by equal differences over equal intervals. O Linear Function O Not a Linear Function O Linear Function O Not a Linear Function

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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EX
EXPLORE 1B Recognizing Linear Functions
O Read
Read the section below and complete the following activity (adapted from Lesson 5.1).
form by the equation Ax + By = C, where A, B, and C are real numbers.
Examples:
Linear functions can be represented in slope-intercept form by the equation y = mx + b, where x is
These are NOT linear functions:
no variable
When linear functions are written as an equation, the
following is true of the x-and y-coordinates:
2 + 4 = 6
x² = 9
exponent of x > 1
o xand y both have exponents of 1,
x and y multiplied together
x and y are not multiplied together,
o xand y do not appear in denominators, exponents
xy = 8
6 = 3
x in denominator
or radicands.
2Y = 8
y in exponent
Vỹ = 5
y in a square root
Identifying Linear Functions from Equations
3. Tell whether each function is linear or not.
Yes
No
A. 14 = 2Vx
B. y+ 2 = 3x – 9
С. 14 %3
Identifying Linear Functions from a Set of Points
4. Identify whether each set of points represents a linear function. Use the table to reorganize the data, and
use arrows to show growth over intervals.
{ (1,0), (2, 3), (3, 10), (4, 21) }
{ (3,5), (5, 4), (7, 3), (9, 2) }
y
Linear functions grow
by equal differences
over equal intervals.
O Linear Function
O Not a Linear Function
O Linear Function
O Not a Linear Function
lifelong
Algebra 14

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