In day 3, teacher Ver discussed determining a function whether it is a Domain or Range.
Example :
a. x2 + 2y - 1 = 0
b .1/2x + 3y + 5
a. In terms of x.
x2 = -2y + 3
x = √-2y + 3
D = { x / x ∈ R }
In terms of y.
2y = -x2 + 3
2 2
y = -x2 + 3
2
R = { y / y ≤ 1
b. In terms of x.
[1x = -3y - 5] 2
2
x = -6y - 10
D: { x / x ∈R }
In terms of y.
[3y = -1/2x - 5] 2
6y = x - 10
6
R: { y / y ∈R }
a. In terms of x.
x2 = -2y + 3
x = √-2y + 3
D = { x / x ∈ R }
In terms of y.
2y = -x2 + 3
2 2
y = -x2 + 3
2
R = { y / y ≤ 1
b. In terms of x.
[1x = -3y - 5] 2
2
x = -6y - 10
D: { x / x ∈R }
In terms of y.
[3y = -1/2x - 5] 2
6y = x - 10
6
R: { y / y ∈R }
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