All categories

3 years ago

Which set is a function?

Mathematics

1 answer:

Elis [28]3 years ago

5 0

When finding if a set is a function, the best method is looking at the x coordinates. Make sure that the if the x coordinates repeats that the y coordinates are identical, meaning if a point repeats; (2,0) and (2,0). If the x coordinates repeats itself but has two different y coordinates, it is not a function: (2,0) and (2,6).
A. x=0 repeats with two different y coordinates, NOT FUNCTION
B. No x's repeat, FUNCTION
C. x=2 repeats with two different y coordinates, NOT FUNCTION
D. x=6 repeats with two different y coordinates, NOT FUNCTION

You might be interested in

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D-x-2%20%7D%7Bx-5%7D" id="TexFormula1" title="f(x) = \fra

Umnica [9.8K]

The given function is

$f(x)=\frac{x^2-x-2}{x-5}$

i) We factor the numerator to obtain;

$f(x)=\frac{(x-2)(x+1)}{x-5}$

The vertical asymptote is where the denominator is zero.

V.A: $x=5$

ii) The roots are the zeros of the numerator;

Roots:

$x^2-x-2=0$

$(x-2)(x+1)=0$

$x=2,x=-1$

iii) At y-intercept $x=0$ .

Put $x=0$ into the function and solve.

$f(0)=\frac{0^2-0-2}{0-5}$

$f(0)=\frac{-2}{-5}$

$f(0)=\frac{2}{5}$

Y-int: $\frac{2}{5}$

iv) Horizontal asymptote.

This is an improper rational function.

It has no horizontal asymptote.

v) Holes:

The given rational function has no common factors in both the numerator and the denominator.

Therefore the function has no holes.

6) For oblique Assymptote, we divide using lond division or synthetic division;

1 -1 -2

5| 5 20

1 4 18

The quotient is $x+4$

The oblique asymptote is

$y=x+4$

6 0

3 years ago

I WILL GIVE BRAINLIEST Solve for x Answer must be simplified <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B7%7D

34kurt

Answer:

x ≥ -42

Step-by-step explanation:

x/7 ≥ -6

Multiply each side by 7

x/7 *7 ≥ -6 *7

x ≥ -42

6 0

3 years ago

The product of two consecutive parking-space numbers is 110. find the parking-space numbers

slavikrds [6]

Answer:

55.

Step-by-step explanation:

55x2=110

8 0

3 years ago

Paul says that in the number 6367 one 6 is 10 times as great as the other 6. is correct ? explain why or why not.

Temka [501]

Paul is not correct. A good understanding of place value is important to solve this problem. From the left, you look at the ones, tens, hundreds, and thousands for place value. In the number 6367, one 6 is in the tens column and the other 6 is in the thousands column. This means that one six is 100 times as great as the other 6. If it was 10 times as great, it would be in the hundreds column.

5 0

3 years ago

Answer asap!!!!!!!!!!The ratio of Evan’s red toy cars to blue toy cars is 3 : 4. Evan has 12 red toy cars. How many blue toy car

Wittaler [7]

The answer is D.16 hope it helps!!

7 0

3 years ago