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3 years ago

How to find the domain and range of a function

Mathematics

1 answer:

Rasek [7]3 years ago

3 0

Answer:

The domain of a function is the complete set of possible values of the independent variable. The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

Step-by-step explanation:

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

The range is the resulting y-values we get after substituting all the possible x-values.

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Read 2 more answers

Suppose f(x) = x^2 and

SpyIntel [72]

Given:

The two functions are:

$f(x)=x^2$

$g(x)=\left(\dfrac{1}{3}x\right)^2$

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

$g(x)=f(kx)$ ...(i)

If $0$ , the function f(x) is horizontally stretched by factor $\dfrac{1}{k}$ .

If $k>1$ , the function f(x) is horizontally compressed by factor $\dfrac{1}{k}$ .

We have,

$f(x)=x^2$

$g(x)=\left(\dfrac{1}{3}x\right)^2$

Using these functions, we get

$g(x)=f\left(\dfrac{1}{3}x\right)$ ...(ii)

On comparing (i) and (ii), we get

$k=\dfrac{1}{3}$

Since $0$ , the function f(x) is horizontally stretched by factor $\dfrac{1}{\frac{1}{3}}=3$ .

Hence, the correct option is D.

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3 years ago

A train decreased its speed by 72 miles hour in 12 minutes. Find the average change in speed per minute.

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Answer:

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Step-by-step explanation:

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The equation to represent the number of people that can attend the event will be 18500 +/- 1200.

<h3>How to calculate the value?</h3>

Based on the information, equation to represent the number of people that can attend the event will be 18500 +/- 1200.

The maximum number will be:

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The minimum number will be:

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brainly.com/question/13763238

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