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dlinn [17]
3 years ago
12

Select all of the following graphs which are one to one functions

Mathematics
1 answer:
alina1380 [7]3 years ago
4 0
Given a curve in the x-y axis.

We can determine whether the curve can be the graph of a function by the "Vertical Line Test",

and we can determine whether a function is 1-1 by the "Horizontal Line Test"



The Vertical Line Test states that a curve is the graph of a function only in every single vertical line drawn in the x-y axis, cuts the curve only ONCE:

Clearly a is not the graph of a function.

b is also not a function. The line x=-2 cuts the curve more than once.

Remark: it is highly probable that the figure is not smooth enough and the vertical line x=-2 cuts the curve only at (-2, 1)

This is because the curve is very similar to the graph of \sqrt[3]{x} shifted 2 units left and 1 unit up, most probably this is what was meant

BUT  we have to deal with it as it appears, as we are not given any other information!


The horizontal line test states that a function is 1-1 only if every single horizontal line drawn in the x-y-axis cuts the curve ONLY once.

Check the purple horizontal lines:

a and b are not functions, so not 1-1,

c, e and f are 1-1.

d is not 1-1, as we can see that the horizontal line we drew cut the curve more than once.

Answer:

c, e, f
 

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Answer:

C. m∠4 = m∠8

D. m∠2 = m∠7

Step-by-step explanation:

Here, we use the principles of alternate angles, corresponding angles and vertically opposite angles to confirm which of the statements are true. Alternate angles are always equal, corresponding angles are equal, likewise vertically opposite angles.

From the given question, it was given that a is parallel to b. Thus, it can be observed and deduced that;

m∠4 = m∠8  (corresponding angles)

and

m∠2 = m∠3 (vertically opposite angles)

m∠3 = m∠7 (corresponding angles)

So that,

m∠2 = m∠7  

Thus in the question, statements C and D are true.

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3 years ago
Pls help i will give brainly!!!
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Answer:

Greatest population density: Denmark

Smallest population density: The U.S.

Step-by-step explanation:

Population density = population / area

So let's find the population density of each country

For U.S

Population: 272,648,000

Area: 9,364,520 sq km

Population density: 272,648,000/9,364,520=29.1 ( rounded to the nearest tenth )

So the population density of the U.S is 29.1 people per sq km

For Denmark

Population: 5,248,000

Area: 42,077

Population density: 5,248,000/42,077=124.7 ( rounded to the nearest tenth )

So the population density of Denmark is 124.7 people per sq km

For Ghana

Population: 18,339,000

Area: 237,533

Population density: 18,339,000/237,533=77.2 ( rounded to the nearest tenth ).

So the population density of Ghana is 77.2 people per sq km

Now that we have calculated the population density of each country let's look back at the question

Which country has the greatest population density? Which country has the least?

Looking at the population densities we can conclude that Denmark has the largest population density at 124.7 people per sq km and the U.S. has the smallest population density at 29.1 people per sq km

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Multiply your yard value by 3 to find it's value in feet.

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