Question

which of the following relations is a function
a:(1,4),(1,-6),(1,3),(-7,2)
b:(1,4),(-1,2),(5,1),(-7,2)
c:(5,1),(-1,4),(1,1),(5,2)
D:(1,0)(-1,3),(5,1),(-1,5)

Answer 1

please someone help?

Answer 2

Do the vertical line test. For a function same x value should NOT give different y values.

Answer 3

what do you mean may I ask?

Answer 4

Let us look at a:(1,4),(1,-6),(1,3),(-7,2)
(1,4) means when x = 1, y = 4
(1,-6) means when x = 1, y = -6
The same x value of 1 gives two different y values.
This is NOT a function.

Answer 5

so the answer would be d or c?

Answer 6

In c: look at the first and last points.

Answer 7

yeah I see it first point 5,1 and last one 5,2 that means c is the answer?

Answer 8

No. The same x = 5 gives two different y's: 1 and 2. NOT a function.

Answer 9

For a function one x value should give one and only one y value.

Answer 10

so the answer be d then,soory im kind of new with this type of math.

Answer 11

Look at the second and fourth point in D

Answer 12

yeah -1,3 and -1,5

Answer 13

same x giving two different y's. NOT a function.

Answer 14

yeah im starting to see the error

Answer 15

so the answer is b.

Answer 16

thanks hey just one more question

Answer 17

simplify the following expression (4^3)-2

a 1/4096
b4
c4,096
d1/4

Answer 18

I think its option a but correct if im wrong

Answer 19

correct.
(4^3)^(-2) = (64)^(-2) = (1/64)^2 = 1/4096