Question 1197836: 3. {(-9, -8), (-16, 5), (17, 6), (19, 4), (-8, 9), (-10, -10)}
A. Inverse={(5, 16), (9, 8), (-10, 9),(-8, -9), (4, 19), (-6, 17)} The inverse is a function.
B. Inverse={(5, -16), (9, -8), (-10, -10),(-8, -9), (4, 19), (6, 17)} The inverse is not a function.
C. Inverse={(9, 8), (16, -5), (-17, -6), (-19, -4), (8, -9), (10, 10)} The inverse is a function.
D. Inverse={(9, 8), (16, -5), (-17, -6), (-19, -4), (8, -9), (10, 10)} The inverse is not a function.
E. Inverse={(5, -16), (9, -8), (-10, -10),(-8, -9), (4, 19), (6, 17)} The inverse is a function.
F. Inverse={(5, 16), (9, 8), (-10, 9),(-8, -9), (4, 19), (-6, 17)} The inverse is not a function.
4. {(8, -5), (-4, -14), (16, 12), (-13, 4), (-17, -2), (3, -13)}
A. Inverse={(-8, 5), (4, 14), (-16, -12), (13, -4), (17, 2), (-3, 13)} The inverse is not a function.
B. Inverse={(-14, -4), (-13, 3), (4, -13), (12, 16), (-5, 8), (-2, -17)} The inverse is not a function.
C. Inverse={(-8, 5), (4, 14), (-16, -12), (13, -4), (17, 2), (-3, 13)} The inverse is a function.
D. Inverse={(-14, -4), (-13, 3), (4, -13), (12, 16), (-5, 8), (-2, -17)} The inverse is a function.
E. Inverse={(-4, -4), (-13, 3), (4, -13), (14, 16), (5, 8), (-2, -17)} The inverse is a function.
F. Inverse={(-4, -4), (-13, 3), (4, -13), (14, 16), (5, 8), (-2, -17)} The inverse is not a function.
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52794)   (Show Source):
You can put this solution on YOUR website! .
Too much and too primitive.
I mean too much work to do (to write) and too few to learn. Huge disproportion.
It is like the work of a woodpecker who pecks the bark of a target tree with its beak.
Answer by math_tutor2020(3817)  (Show Source):
You can put this solution on YOUR website!
I'll do problem 3 to get you started.
Each point in the given set is of the form (x,y)
We swap the positions of those coordinates to form the inverse.
Do this for every point.
Something like (-9,-8) flips to (-8,-9)
The inverse of
{(-9, -8), (-16, 5), (17, 6), (19, 4), (-8, 9), (-10, -10)}
is
{(-8,-9), (5,-16), (6,17), (4,19), (9,-8), (-10, -10)}
The order of the points doesn't matter.
A set with points A,B,C inside has {A,B,C} the same as {B,C,A} for instance.
Then notice how there aren't any repeated x coordinates in the inverse. We have each x input lead to exactly one y output only. Therefore, the inverse is a function.
Problem 4 will follow the same outline of steps. Though I won't give away if the inverse is a function or not.
|
|
|
