It is a decreasinncreasing function becauseunction because as x increases, y decreases.as xSesThe function is linear if its differences on x-coordinates are equal and the first difference-coordinates are equal. However, the function is not linear if the first differences on x -coordinequal and the first differences on y coordinates are not equal.Directions: Find out how much you've learned from the last module. Choose the letter that you thinkenswers the questions. Write the chosen letter on a separate sheet of paper.1. What is a standard form of a linear function in two variables?A. ax + c = byB.c + ax = by"С. ах + by 3D сD. ax - by = c2. Transform the function, 3y24 x into the slope-intercept form.A. 3y = 24 +xB. y =+ 8C. y = + 8D. y 24- x3. Find the linear function if its slope is 4 and containing the point (-3,6).B. y = 4x - 3С. У= 3x + 4D. y = 4x + 18A. y = 3x + 64. Find the linear function whose two points on its graph are given: (4,6) and (1,3).А. у 3D х + 1B. y = x + 2C. y = x + 3D. y = x + 4= mx + b, where m and b are real numbers. Its graph is a line5. A linear function is defined by f(x)with slope m and b is theА. х- intercept.В. УС. mD. z"That's great! Since you're done going back to your previous lesson, it's time to proceed to a new topic.Let's start it by answering the first activity. Keep going!"Introduction of the LessonLesson 1: If-Then Statement or Conditionallife gives You lemons, make lemonade."

Slope-intercept form:y=mx+bPoint-intercept form:y-y1=mx-x1Slope:m=y2-y1x2-x1

1. What is a standard form of a linear function in two variables? A. ax +c= by B. c + ax = by "С. ах + bу %3D с D. ax- by = 2. Transforrn the function, 3y - 24 = x into the slope-intercept form. A. 3y B. y =+ 8 C. y = + 8 D. y = 24- x = 24 + x 3. Find the linear function if its slope is 4 and containing the point (-3,6). A. y = 3x + 6 4. Find the linear function whose two points on its graph are given: (4,6) and (1,3). A. y = x + 1 В. у С. У = 3x + 4 D. y = 4x + = 4x - 3 B. y = x + 2 C. y x + 3 D. y = x + 5. A linear function is defined by f (x) = mx + b, where m and b are real numbers. Its graph is a with slope m and b is the intercept. В. у С. т D. z

1. What is a standard form of a linear function in two variables? A. ax +c= by B. c + ax = by "С. ах + bу %3D с D. ax- by = 2. Transforrn the function, 3y - 24 = x into the slope-intercept form. A. 3y B. y =+ 8 C. y = + 8 D. y = 24- x = 24 + x 3. Find the linear function if its slope is 4 and containing the point (-3,6). A. y = 3x + 6 4. Find the linear function whose two points on its graph are given: (4,6) and (1,3). A. y = x + 1 В. у С. У = 3x + 4 D. y = 4x + = 4x - 3 B. y = x + 2 C. y x + 3 D. y = x + 5. A linear function is defined by f (x) = mx + b, where m and b are real numbers. Its graph is a with slope m and b is the intercept. В. у С. т D. z

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

100%

It is a decreasin
ncreasing function because
unction because as x increases, y decreases.
as x
Ses
The function is linear if its differences on x-coordinates are equal and the first difference
-coordinates are equal. However, the function is not linear if the first differences on x -coordine
qual and the first differences on y coordinates are not equal.
Directions: Find out how much you've learned from the last module. Choose the letter that you think
enswers the questions. Write the chosen letter on a separate sheet of paper.
1. What is a standard form of a linear function in two variables?
A. ax + c = by
B.c + ax = by
"С. ах + by 3D с
D. ax - by = c
2. Transform the function, 3y
24 x into the slope-intercept form.
A. 3y = 24 +x
B. y =+ 8
C. y = + 8
D. y 24- x
3. Find the linear function if its slope is 4 and containing the point (-3,6).
B. y = 4x - 3
С. У
= 3x + 4
D. y = 4x + 18
A. y = 3x + 6
4. Find the linear function whose two points on its graph are given: (4,6) and (1,3).
А. у 3D х + 1
B. y = x + 2
C. y = x + 3
D. y = x + 4
= mx + b, where m and b are real numbers. Its graph is a line
5. A linear function is defined by f(x)
with slope m and b is the
А. х
- intercept.
В. У
С. m
D. z
"That's great! Since you're done going back to your previous lesson, it's time to proceed to a new topic.
Let's start it by answering the first activity. Keep going!"
Introduction of the Lesson
Lesson 1: If-Then Statement or Conditional
life gives You lemons, make lemonade."

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