All categories

2 years ago

4. Which of the following sets of ordered pairs represents a FUNCTION?* 1 point

Mathematics

1 answer:

BartSMP [9]2 years ago

6 0

Answer:

Option D

Step-by-step explanation:

The graph of a function should pass the vertical line test in order to be a function.

Option A

Fails as repeat x-values of 14 with different y-values

Option B

Fails as repeat x-values of 15 with different y-values

Option C

Fails as repeat x-values of 16 with different y-values

Option D

All x-values are different so this is a function

You might be interested in

What is a radius of a circle given by the equation x²-2x+8y-47=0

Zolol [24]

First, we are going to rewrite it as a parabola equation.
Rewrite.
$8y=-x^2+2x+47$
Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

7 0

2 years ago

Read 2 more answers

05.02 MC)

Natalka [10]

Add the two bases together, divide by 2 then multiply by the height.

8+6 = 14

14/2 = 7

7x5 = 35

The area is 35 square Feet

4 0

2 years ago

Use the graph to determine the domain and range of the relation, and whether the relation is a function.

Westkost [7]

Answer:

Step-by-step explanation:

We can use vertical line test to determine if a relation is a function.

If a vertical line passes the graph at any point only once, then the relation is a function, if there is even 1 line that passes the graph at 2 points, then it is NOT a function.

The domain is the set of allowed x-values of the function. The range is the set of allowed y-values of the function.

Looking at the graph, we see that there are a lot of vertical lines that cuts the graph two times. Suppose x=3, x=4, x= 5 etc. So it is not a function.
As for domain, we see that curve swings from x = -8 to x = 8, so the domain is from -8 to 8.
As for range, we that the curve stretches all the way from negative infinity to positive infinity, so the range is the set of all real numbers.

Correct answer is A

5 0

2 years ago

Javier and tommy have money in their wallets. The sum of their money is $43. Javier has $11 more than Tommy. How much money do t

Savatey [412]

Answer:

Javier has 27, Tommy has 16

Step-by-step explanation:

43-11=32

32/2=16

16+11=27

Check: 27+16=43

4 0

3 years ago

What is the solution of log (3x+2) = log2 (4x-6)? 08 0-6 08 9

grin007 [14]

Answer:

The answer is 8.

5 0

2 years ago