Is {(-2,1),(-1,2),(0,3),(1,4) } a function?

1 answer:

5 0

Think of it this way, a function must pass the vertical line test. There may not be 2 outputs for one input for example (0, 1) (0, 2) However, you can have something like this (1, 0) (2, 0)

This is indeed a function as it meets those criterion. There are no two outputs for one input.

You might be interested in

Represent each of the following variables in the appropriate letters.Next determine wether the variable has a fixed value or a c

Alex777 [14]

Step-by-step explanation:

a) Let 'm' represents score in a Mathematics test. The variable has a fixed value because the marks Sarah obtained in her test will not change

b) Let 'd' represent the distance between the Zen house and the school. The variable has a fixed value because by using the same route, the distance will always remain constant.

c) Let 't' represent the temperature on the summit of Mount Everest. The variable has a changed value because the temperature may alter depending on the time of day and also climatic conditions which will affect the temperature.

6 0

3 years ago

Can anybody help me on this

solong [7]

9514 1404 393

Answer:

a. x = 13/7

b. j = 3

c. y = 2

d. p = 25

Step-by-step explanation:

Here, it is convenient to combine like terms first. When you do that, you see that one side of the equation has a mix of a constant term and a variable term. Choose the term that matches the kind of term present on the other side of the equation (constant or variable), then add its opposite to both sides. Finally, divide by the coefficient of the variable.

a. 3x +13 = 10x . . . . combine like terms

13 = 7x . . . . . . . . . subtract 3x

13/7 = x . . . . . . . . divide by the coefficient of x

b. 10j -20 = 10 . . . . combine like terms

10j = 30 . . . . . . . . add 20

j = 3 . . . . . . . . . . . divide by 10

c. 6y = 14 -y . . . . . . combine like terms

7y = 14 . . . . . . . . . add y

y = 2 . . . . . . . . . . divide by 7

d. p + 8 = 33 . . . . . . combine like terms

p = 25 . . . . . . . . . add -8

_____

<em>Comment on solving equations</em>

In these "2-step" equations, the first step (after simplifying, combining like terms) is to "separate the variable and constant terms". The basic idea is to determine what term you don't want where it is, then add its opposite to both sides of the equation.

You can do anything you like to the equation, provided you do the same thing to both sides. When we say "subtract 3x," for example, we mean 3x is subtracted from both sides of the equation. This is an example of the use of the addition property of equality.

The same goes for multiplication or division. You can multiply or divide by anything you like, as long as you do the same thing to both sides of the equation. In the above, "divide by 7," for example, means both sides of the equation are divided by 7.

3 0

3 years ago

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year

puteri [66]

Answer:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$