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3 years ago

Use the graph of the function to find the domain and range of f.

Mathematics

1 answer:

Alik [6]3 years ago

5 0

The domain is the x-values u insert to get corresponding y-values. In other words, the domain is the boundaries for which u can enter x valies. In this graph, we can see that the function continues infinitely upwards, not vertical shifting a bit to the sides. This means that the domain is all x belonging to the set R, since for any x value, we will get a corresponding point on the graph. For the range, it is simply the range of the y-values. From the graph, teh range is -4

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Arte-miy333 [17]

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3 years ago

Which of the following numbers is less than 2/3? F. -1/2 G. 1/3 H. -7/8 J. -1/6

stiks02 [169]

Answer:

All of them are.

Step-by-step explanation:

F. H. J. are all negative and G. is just smaller than 2/3

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2 years ago

Read 2 more answers

What two numbers can add to 4 but multiple to -12

olasank [31]

Answer:

Numbers: 6 and -2

Step-by-step explanation:

Equations

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

$y=4-x$

Substituting in [2]

$x(4-x)=-12$

Operating:

$4x-x^2=-12$

Rearranging:

$x^2-4x-12=0$

Solving with the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

With a=1, b=-4, c=-12:

$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

$\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}$

$\displaystyle x=\frac{4\pm 8}{2}$

The solutions are:

$\displaystyle x=\frac{4+ 8}{2}=6$

$\displaystyle x=\frac{4- 8}{2}=-2$

This confirms the preliminary results.

Numbers: 6 and -2

7 0

3 years ago

What will be the unit digit of the square of 7992

Alina [70]

Answer:

Step-by-step explanation:

Here you need not completely solve 7992 squared. You can just take the last digit which in this case is 2 and solve for the square of that digit. 2 x 2 = 4. Now if it was a bigger digit which would result in a two digit number when squared you would take the last digit of that number. But, we don't need to do that here since 2 squared is 4.

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3 years ago

I’m so confused i need answers fast!!! pls help!!!!!

lana [24]

Answer:

Chu

Step-by-step explanation:

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2 years ago