Question

Can anyone help? I will fan and medal.

Answer 1

One characteristic of a function is that it's independent variable (in most cases, x) never repeats.

Take a look at A. Do you spot any repeating x-values? @isuckatschool43

Answer 2

no

Answer 3

Really? So you're saying that (-1, 1) and (-1, 3) do not possess the same x-value? Hint: (x, y)

Answer 4

oh i see that okay

Answer 5

Since this solution set has a repeating x-value, it fails the vertical line test and therefore, is not a function. A is not one of your choices.

Answer 6

Now, take a look at D. Can you spot any repeating x-value? @isuckatschool43

Hint: The left-hand column are all x-values.

Answer 7

no

Answer 8

Then D is one of your answers.

Answer 9

Let's take a look at B. Can you draw a vertical (up-and-down) line through the blue line without crossing it twice? @isuckatschool43

Answer 10

yes

Answer 11

Then the graph in B passes the vertical line test, and therefore is a function. B is one of your answers.

Answer 12

Now for C, it takes longer to explain fully, but it's also one of your answers. You basically have to be familiar with cubed curves.

Answer 13

okay thanks so much @Cardinal_Carlo can you help me with a couple more?

Answer 14

Have you actually been typing for 42 minutes @Cardinal_Carlo

Answer 15

Nope I actually left for nearly an hour.

Answer 16

oh wow it said you were typing lol

Answer 17

so i dont really know what to do

Answer 18

Where are you now?

Answer 19

i havent really gotten anywhere im stumped

Answer 20

Let's see,
\[m _{A} = \frac{ 13-7 }{ 5 - (-1) } = \frac{ 6 }{ 6 } = 1\]
\[7 = 1(-1) + b\]
\[7 = -1 + b\]
\[8 = b\]
\[line ~A ~~~is ~~y = x + 8\]

\[m _{B} = \frac{ (-7) - 29 }{ 6 - (-6) } = -\frac{ 36 }{ 12 } = -3\]
\[-7 = -3(6) + b\]
\[-7 = -18 + b\]
\[11 = b\]
\[line ~~B ~~is ~~y = -3x + 11\]

So we just need to equate these two equations to find our point of intersection.
\[x + 8 = -3x + 11\]
\[4x = 3\]
\[x = \frac{ 3 }{ 4 }\]

The only choice that has an x = 3/4 is B. We don't have to go further to find y-values since we already found a definitive x-value. B is our best answer @isuckatschool43

Answer 21

I apologize for taking that long.

Answer 22

thats no problem thank you