WEEK 4- RELATION AND FUNCTION.pptx

The domain of a function f is the set of values
of x for which f is defined.
Domain
The range of a function f is the set of values
of f(x), where x is an element of the domain
of f.
Range

Which of the following given describes a
function? Find its domain and range.
A={(0,1),(1,2),(2,3),(3,4),(4,5)}
B={(4,2),(-3,2),(-4,2),(5,2),(-5,2)}
C={(-1,2),(-3,-3),(-4,5),(-5,-5),(-5,7)}
Learning Task 1
Function
D: {0,1,2,3,4}
R: {1,2,3,4,5}
Function
D: {4,-3,-4,5,-5}
R: {2}
Not Function
D: {-1,-3,-4,-5}
R: {2,-3,5,-5,7}

Give range of the following if the domain is
{-2,0,2,4}
1. y=-x+3
Learning Task 2
when x=-2
y=-(-2)+3
=2+3
y=5
when x=0
y=-(0)+3
=0+3
y=3
when x=2
y=-(2)+3
=-2+3
y=1
when x=4
y=-(4)+3
=-4+3
y=-1
Solution:
Thus, R:{5,3,1,-1}.

2. y=2x
when x=-2
y=2(-2)
y=-4
when x=0
y=2(0)
y=0
when x=2
y=2(2)
y=4
when x=4
y=2(4)
y=8
Solution:
Thus, R:{-4,0,4,8}.

Find f(x) for a given value of x by substituting the value x into
the equation. The domain is the of all x-values that makes
sense in the equation.
x- values function-values,
f(x) = -3x + 5
x = 2
x = 3
x = 4
x = 5
f(2) = -3(2) + 5 = -1
f(3) = -3(3) + 5 = -4
f(4) = -3(4) + 5 = -7
f(5) = -3(5) + 5 = -10
Learning Task 3

Learning Task 4
Find its domain and range of the function given
equation.
A. 𝒇 𝒙 = 𝟓𝒙 + 𝟑
B. 𝒇 𝒙 = 𝟖𝒙 + 𝟏
C. 𝒇 𝒙 = −𝒙 + 𝟐
D. 𝒇 𝒙 = 𝟗𝒙 + 𝟓
Domain: 𝒙|𝒙 ∈ 𝑹
Range: 𝒚|𝒚 ∈ 𝑹

equation.
E. 𝒇 𝒙 = 𝒙𝟐
+ 𝟑
F. 𝒇 𝒙 = −𝟑𝒙𝟐
− 𝟕
Range: 𝒚|𝒚 ≥ 𝟑
Range: 𝒚|𝒚 ≤ −𝟕

equation.
G. 𝒇 𝒙 = 𝒙
F. 𝒇 𝒙 = 𝒙 + 𝟓
Domain: 𝒙|𝒙 ≥ 𝟎
Domain: 𝒙|𝒙 ≥ −𝟓

equation.
G. 𝒇 𝒙 =
𝟑
𝒙
F. 𝒇 𝒙 =
𝟓
𝒙+𝟐
Domain: 𝒙|𝒙 ∈ 𝑹, 𝒙 ≠ 𝟎
Range: 𝒚|𝒚 ∈ 𝑹, 𝒙 ≠ 𝟎
Domain: 𝒙|𝒙 ∈ 𝑹, 𝒙 ≠ −𝟐
Range: 𝒚|𝒚 ∈ 𝑹, 𝒚 ≠ 𝟎

Find the domain and range of each graph.
Learning Task 5

(3,1)
Extends on
both direction

WEEK 4- RELATION AND FUNCTION.pptx

Therefore, the estimated bus fare from Imus City to Tagaytay City
is P32.70.

WEEK 4- RELATION AND FUNCTION.pptx

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