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3 years ago

1. Which graph represents a relation that is not a function?

Mathematics

1 answer:

Artemon [7]3 years ago

3 0

The second one doesn't represent a function, because for some values of "x", you get two different values for "y" (which should not happen, if that were a function).

In every function, you must have a single "y" value for each "x" in the domain.

__________

In order to see it better, you can trace a vertical line onto that graph.

If that line and the graph intersects in more than one point, then that graph doesn't represent a funcion.

Look into the attached picture and see. That vertical red line and the graph intersects in two distinct points. Therefore, it can't represent a function.

Any doubt? Please, comment below.

I hope it helps. :-)

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10 points!!

torisob [31]

N the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.
y=mx+b
y=mx+b
Where m is the slope and b is the y-intercept.
Example
Graph the equation
y−2x=1
y−2x=1
rewrite in slope-intercept form
y=2x+1
y=2x+1
Identify the slope and the y-intercept
m = 2 and b = 1
Plot the point corresponding to the y-intercept, (0,1)
picture23
The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)
picture24
And once you have your second point you can just draw a line through the two points and extend it in both directions.
picture25
You can check to see that the line you've drawn is the correct one by substituting the coordinates of the second point into the original equation. If the equation holds true than the second point is correct.
Our second point = (1, 3)
y−2x=1
y−2x=1
3−2⋅1=3−2=1
3−2⋅1=3−2=1
Our second point is a solution to the equation i.e. the line we drew is correct.
A line that passes through the origin has a y-intersect of zero, b = 0, and represents a direct variation.
y=mx
y=mx
In a direct variation the nonzero number m is called the constant of variation.
You can name a function, f by using the function notion
f(x)=mx+b
f(x)=mx+b
f(x) is another name for y and is read as "the value of f at x" or "f of x". You can use other letters than f to name functions.
A group of functions that have similar characteristics are called a family of functions. All functions that can be written on the form f(x) = mx + b belong to the family of linear functions.
The most basic function in a family of functions is called the parent function. The parent function of all linear functions is
f(x)=x

4 0

2 years ago

An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. Find the sa

Julli [10]

Answer:

Step-by-step explanation:

Given that IQ mean is 100 and std dev = 12 for normal adults

$Confidence level =90%\\Z critical value = 1.645\\Margin of error = 2\\Margin of error = 1.645* std error =2\\Std error = 1.216$

Std error = $\frac{12}{\sqrt{n} } =1.216$

$n=(\frac{12}{1.216} )^2 =97.38$

i.e. sample size should be atleast 97

The required sample size is 97.

This is reasonable as this is greater than 30

Yes. This number of IQ test scores is a fairly large number.

5 0

2 years ago

Please please please

lapo4ka [179]

The answer is y= 3/4x - 4.

6 0

3 years ago

Ms. Fontanges wants to put a line of bricks along the back edge of her yard. She needs 35 feet of bricks. The bricks she wants t

Oliga [24]

Answer:

$41.16

Step-by-step explanation:

Length of bricks required = 35 feet, length of brick sold = 10 inches, cost of 10 inches brick = $0.98 per brick

Total number of brick required to build the back yard = Length of bricks required ÷ Length of brick sold

1 ft = 12 inches

Number of brick required = (35 * 12) ÷ 10

Number of bricks required = 42 bricks

Cost of brick required = Per length cost of brick * Number of bricks required

Cost of brick required = 0.98 * 42

Cost of brick required = $41.16

Ms. Fontanges would spend $41.16 on the purchase of bricks

5 0

2 years ago

PLEASEEEE HELP MEEE I"LL GIVE U BRAINLEST!!

DedPeter [7]

Answer:

m=13

Step-by-step explanation:

156 divided by 12mph = 13 miles

6 0

2 years ago