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Lera25 [3.4K]
3 years ago
9

Write an equation and graph it to show that it is either a function or not. Provide a picture of your graph

Mathematics
1 answer:
Elza [17]3 years ago
6 0

So this is more of an open-ended question. You get to pick a type of function, graph it, and then show if it is a function or not.

The first step is to pick one of these functions. I have them in order from least complicated to most intricate, but you can chose any of these:

Linear:

y = x

Quadradic:

y =  {x}^{2}

Logarithmic:

y =  log_{2}(x)

Circular:

{x}^{2}  +  {y}^{2}  = 4

Rational:

y =  \frac{1}{x}

There are plenty of other types of functions that you can use additionally. Moving on though,

The second step is to show if it is actually a function or not. The easiest way to do this, especially since we are using graphs, is to conduct the verticle line test.

Draw a straight line from top to botom on the graph, then ask yourself "Does it pass through the function more than once?" If it does, then it is not a function, otherwise, you can safely say that the graph is a function. You are going to want to do this more than once.

I included a picture of the graph of the circular equation, and the verticle line tests for it. In the picture, you can clearly see that all of the verticle lines touch the graph more than once.

If you have any other questions, let me know.

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If the temperature drops 35 degrees everyday for 7 days, you would have to add -35 + -35 + -35 +-35 + -35 + -35 + -35, since each day it drops the temperature would be -35, now the answer would be -245.

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3 years ago
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anyanavicka [17]

Answer:

16ft i think

Step-by-step explanation:

7 0
2 years ago
Maria is purchasing sandwiches for her team at work. Each sandwich costs $6.25 and there is a delivery fee of $15.00, all taxes
Oduvanchick [21]

Answer:

The maximum number of sandwiches she can buy is 24.

Step-by-step explanation:

We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

cost(x) = 15 + 6.25*x

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

cost(x) \leq 170\\15 + 6.25*x \leq 170\\6.25*x \leq 170 - 15\\x \leq \frac{155}{6.25}\\x \leq 24.8

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.

3 0
3 years ago
How many 3/4s are in 2? Draw a Diagram
Iteru [2.4K]

Answer:

2 2/3

Step-by-step explanation:

2/1 x 4/3 = 8/3 = 2 2/3

8 0
2 years ago
Number 1 and 2 please (25 points)
Elenna [48]

Answers:

1) (3x+2)+(4-5x)=-2x+6

(3+2i)+(4-5i)=7-3i

2) (1-3x)(2+x)=-3x^{2}-5x+2

(1-3i)+(2+i)=5-5i

Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

<u>Addition: </u>

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

For example,  the addition of these two binomials is:

(3x+2)+(4-5x)=3x-5x+2+4=-2x+6

Similarly, the addition of two complex numbers is:

(3+2i)+(4-5i)=3+4+2i-5i=7-3i Here the complex part is the number with the i

<u>Multiplication: </u>

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that i^{2}=-1.

For example,  the multiplication of these two binomials is:

(1-3x)(2+x)=2+x-6x-3x^{2}=-3x^{2}-5x+2

Similarly, the multiplication of two complex numbers is:

(1-3i)+(2+i)=2+i-6i-3i^{2}=2-5i-3(-1)=5-5i

8 0
3 years ago
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