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dlinn [17]
2 years ago
12

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

Mathematics
1 answer:
alina1380 [7]2 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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Find the area of the irregular figure. Round to the nearest hundredth
stepladder [879]

Answer:

total area = 100

Step-by-step explanation:

10 x 4 = 40

1/2 * 6 * 10 = 30 ( x 2 triangle) = 60

total area = 40 + 60

total area = 100

6 0
3 years ago
Is a repeating .3 a real number?
Tanya [424]
Yes .3 repeating is a real number
4 0
3 years ago
Read 2 more answers
Mandy is selling pancakes and waffles at her diner. On Monday she sold a total of 300 pancakes and waffles. If she charges $3 pe
elena-s [515]

Answer:

Mandy sold 250 pancakes and 50 waffles.

Step-by-step explanation:

From the information given, you can say that the sum of pancakes and waffles is equal to 300:

x+y=300

Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:

3x+y=800

You have the following equations:

x+y=300 (1)

3x+y=800 (2), where:

x is the number of pancakes she sold

y is the number of waffles she sold

Now, you can solve for x in (1):

x=300-y (3)

Then, you can replace (3) in (2):

3(300-y)+y=800

900-3y+y=800

900-800=2y

100=2y

y=100/2

y=50

Finally, you can replace the value of y in (3) to find x:

x=300-50

x=250

According to this, the answer is that Mandy sold 250 pancakes and 50 waffles.

5 0
2 years ago
Evaluate -a - 12a^2 for a = -1<br><br> a. -13<br> b. 13<br> c.-11
Gelneren [198K]

C

substitute a = - 1 into the expression

- (- 1) - 12(- 1)² = 1 - (12 × 1 ) = 1 - 12 = - 11 → C


8 0
3 years ago
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6/5 ÷ ____ = 6<br><br> A. 1/5<br> B. 30 <br> C. 1/30<br> D. 5
murzikaleks [220]

Answer:

A. \displaystyle \frac{1}{5}

Step-by-step explanation:

\displaystyle \frac{6}{5} \div \frac{1}{5} = 6 \\ \\ OR \\ \\ \frac{6}{5} \div 6 = \frac{1}{5}

I am joyous to assist you anytime.

4 0
3 years ago
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