A linear function can be represented using a set of ordered pairs, a table and a graph just like a mere relation.You can graph a linear function using any two points that satisfies the function. You can also graph a linearfunction using its intercepts and also using the slope and its y-intercept.CHECK YOUR UNDERSTANDINGA. Determine whether each is a linear function or not. Check Yes if it is a linear function and No if it is not.Write the degree of the function. For linear functions, identify its slope m and y-intercept b.FunctionDegreeYesNob.1. Mx) = 5x12. (x) = -6x-73. (x) = 3x4. Ax) = 22-45. Ax) = 5x - 3%3D%3DB.Graph the following linear functions usingslope and y- intercept.1. f(x) = x + 42. f(x) = + 23. f(x) = 34. f(x) = - + 25. f(x) = x + 4%3!MATH S QUARTER 2 WEEK4Page 9 10 31ACTIVITIESACTIVITY 1.1 Write LF if the following is an example of Linear Function and NLF if it is not anexample of a Linear Function6./ (x) = 47.f(x) = x +2xy + y?8. 1(x)91(x) = 2x - 4= 6x2 (x) = 4x + 23 /(x) = -x- 2= -X4.f(x) = x + 25. /(x)ACTIVITY 1.2 Write the domain and range of the given function in the space provided.=x-410. (x) = 3x1f) = 6x- 4Domain:Range:2. /(x) = x +8Domain:Range3 f(x) = 9Domain:Range:5.DomainRange:4.Domain:Range:MATH 8 OUARTER 2 WEEK 4

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A. Determine whether each is a linear function or not. Check Yes if it is a linear function and No if it is not. Write the degree of the function. For linear functions, identify its slope m and y-intercept b. Function Degree Yes No b. 1. Ax) = 5x4 1 2.(x) = -6x-7 3. (x) = 3x

A. Determine whether each is a linear function or not. Check Yes if it is a linear function and No if it is not. Write the degree of the function. For linear functions, identify its slope m and y-intercept b. Function Degree Yes No b. 1. Ax) = 5x4 1 2.(x) = -6x-7 3. (x) = 3x

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A linear function can be represented using a set of ordered pairs, a table and a graph just like a mere relation.
You can graph a linear function using any two points that satisfies the function. You can also graph a linear
function using its intercepts and also using the slope and its y-intercept.
CHECK YOUR UNDERSTANDING
A. Determine whether each is a linear function or not. Check Yes if it is a linear function and No if it is not.
Write the degree of the function. For linear functions, identify its slope m and y-intercept b.
Function
Degree
Yes
No
b.
1. Mx) = 5x1
2. (x) = -6x-7
3. (x) = 3x
4. Ax) = 22-4
5. Ax) = 5x - 3
%3D
%3D
B.Graph the following linear functions using
slope and y- intercept.
1. f(x) = x + 4
2. f(x) = + 2
3. f(x) = 3
4. f(x) = - + 2
5. f(x) = x + 4
%3!
MATH S QUARTER 2 WEEK4
Page 9 10

31
ACTIVITIES
ACTIVITY 1.1 Write LF if the following is an example of Linear Function and NLF if it is not an
example of a Linear Function
6./ (x) = 4
7.f(x) = x +2xy + y?
8. 1(x)
91(x) = 2x - 4
= 6x
2 (x) = 4x + 2
3 /(x) = -x- 2
= -X
4.f(x) = x + 2
5. /(x)
ACTIVITY 1.2 Write the domain and range of the given function in the space provided.
=x-4
10. (x) = 3x
1f) = 6x- 4
Domain:
Range:
2. /(x) = x +8
Domain:
Range
3 f(x) = 9
Domain:
Range:
5.
Domain
Range:
4.
Domain:
Range:
MATH 8 OUARTER 2 WEEK 4

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