All categories

3 years ago

How can you determine the domain and range of function.

Mathematics

2 answers:

Alecsey [184]3 years ago

8 0

<u>Answer and explanation:</u>

The set of all possible values of x that will make the function work, giving an output of real y values is said to be the domain of a function.

The domain of a function is determined by looking for the values of the independent variable (which is usually x) that are allowed to use.

While the complete set of all possible output values of the dependent variable (usually y), when we substitute the x values is called the range.

Range can be determined by the spread of the possible y-values (minimum y-value to maximum y-value).

Mice21 [21]3 years ago

4 0

Answer:

The domain of a function is the complete set of possible values of the independent variable.

In plain English, this definition means:

The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

When finding the domain, remember:

The denominator (bottom) of a fraction cannot be zero

The number under a square root sign must be positive in this section

Step-by-step explanation:

You might be interested in

8. Which equation best represents the line

jeka94

Step-by-step explanation:

first one

when x=0, y=4

wheb x=4, y=0

3 0

2 years ago

There are 60 minutes in one hour. Which of these does NOT represent the number of minutes in an hour?

givi [52]

The answer is c bc it is correct

4 0

3 years ago

Read 2 more answers

Find the circumference of the circle below!

Alchen [17]

Answer: 113.1in

The formula of finding the circumference is 2πr.

That being said, the radius is 18in.

Pi (π) is 3.14.

With all of that being said, we can multiply now.

2 × 3.14 × 18 = 113.09734 = 113.1

Hence 113.1 is the answer.

4 0

3 years ago

Read 2 more answers

HELP ME WITH THIS! 1/3 a = 7/9

andreyandreev [35.5K]

Answer:

a = 2 $\frac{1}{3}$

Step-by-step explanation:

Given

$\frac{1}{3}$ a = $\frac{7}{9}$

Multiply both sides by 9 ( the LCM of 3 and 9 ) to clear the fractions

3a = 7 ( divide both sides by 3 )

a = $\frac{7}{3}$ = 2 $\frac{1}{3}$

6 0

2 years ago

Read 2 more answers

Solve the following system of equations<br>2x – 3y = 6<br>4x+2y=4

FinnZ [79.3K]

Answer:

$\boxed{(\frac{3}{2} ,-1)}$

Step-by-step explanation:

$\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.$

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

$2x-3y=6 \rightarrow -4x+6y=-12$

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

$\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.$

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

$8y=-8$

Divide both sides by 8.

$y=-1$

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

$4x +2(-1)=4$

Simplify.

$4x -2=4$

Add 2 to both sides.

$4x=6$

Divide both sides by 4.

$x=\frac{6}{4} \rightarrow\frac{3}{2}$

The final answer is $x=\frac{3}{2} ,~y=-1$ .

$(\frac{3}{2} ,-1)$

5 0

2 years ago