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2 years ago

13

What is the domain of f(x) = 2^x?

1 answer:

hammer [34]2 years ago

3 0

The given function has no undefined points nor domain constraint. Thus, the domain is: $-\infty \: < x < \infty$ .

<h3>Domain and Range</h3>

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined. An example, there is a restriction for the domain of fractions. The variable x in the denominator should be different of zero.

While the domain is related to the values of x, the range is related to the possible values of y that the function can have.

In this question, the function $2^x$ has no undefined points nor domain constraint. Therefore, the domain is: $-\infty \: < x < \infty$

Learn more about the domain here:

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Graph the line with the equation

pochemuha

The graph of the linear equation can be seen in the image below.

<h3 /><h3>How to graph the linear equation?</h3>

Here we have the linear equation:

y = (2/5)*x - 6

To graph it, we just need to find two points on the line, and then connect them with a line.

To find the points we just evaluate in two values of x.

if x = 0.

y = (2/5)*0 - 6 = -6

Then we have the point (0, -6)

If x = 5.

y = (2/5)*5 - 6 = 2 - 6 = -4

Then we have the point (5, - 4)

Now we can graph these two points and connect them with a line. The graph of the line can be seen below.

If you want to learn more about linear equations:

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4 0

2 years ago

Which bear describes the relationship between the successive terms in the sequence shown

Fantom [35]

Idk what awser is just tryns get points

7 0

3 years ago

Someone help plz????

slega [8]

Answer:

the answer is 24.1 MM

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

HELP A line passes through two points with coordinates (6,-8) and (-3,7).

FromTheMoon [43]

Answer:

<em>3y+5x=6</em>

Step-by-step explanation:

<u>Equation of the Line</u>

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The line passes through the points (6,-8) and (-3,7), thus:

$\displaystyle y+8=\frac{7+8}{-3-6}(x-6)$

$\displaystyle y+8=\frac{15}{-9}(x-6)$

Simplifying:

$\displaystyle y+8=-\frac{5}{3}(x-6)$

Multiplying by 3:

$3(y+8)=-5(x-6)$

$3y+24=-5x+30$

Moving all the variables to the left side:

3y + 5x = 30 - 24

3y + 5x = 6

4 0

2 years ago

A home with an area of 2,200 square feet has 660 square feet of wood flooring. What percent of the home's flooring is wood

zheka24 [161]

Answer:

30%

Step-by-step explanation:

Given data

Area of Home= 2,200 square feet

Area of wood flooring= 660 square feet

The percent of wood flooring in the house can be gotten as

=660/2200*100

=0.3*100

= 30%

Hence the wooden floor occupies 30%.

7 0

2 years ago