Order the numbers 0.2, 1/5, 0.02, 0.022 from least to greatest.

Determine whether the graph represents a function . If it does represent a function , give its domain and range.

laiz [17]

Answer:

A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)

Such that each element in the domain can be mapped into only one element from the range.

Let's see graphs 18, 20,24 and 30.

Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)

18) Here we can see that the point x = 1 his mapped into two different values of y.

we have the pair (1, 2) and the pair (1, -3)

And something similar happens for x = 2.

Then we can conclude that this is not a function.

20) Here we have a linear relationship.

Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.

Linear equations can be written as:

y = a*x + b

So x can be any value, and thus y also can be any value.

Then the domain is the set of all real numbers, and the range is the set of all real numbers.

24) Here we have a quadratic function whose arms go down.

This is a function, now let's see the domain and range.

Quadratic functions are written as:

y = a*x^2 + b*x + c

There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.

Now, let's look at the graph.

We can see that the function goes up, reaches a maximum, and then goes down again.

Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:

y ∈ (-∞, 15]

or simply:

y ≤ 15.

30) Here again, we can see that for x = 0 there are two different values of y.

the same happens for x = -1, x = -2, and a lot of other values.

Then this is not a function, because it is mapping values of the domain into different values of the range.

3 0

3 years ago

Which is the slope of a line that is parallel to the line represented by the equation x-y=8

pychu [463]

Answer:

slope of parral line is same as slope of line its 1

5 0

3 years ago

Read 2 more answers

What is the measure of DE?

tatuchka [14]

Answer:

Step-by-step explanation:

Alright, lets get started.

The two chords are intersection each other at point B.

$DBE=ABC$

Both are opposite angles that is 39 degrees.

Angle ABC forms the arc AC which is given 41 degree.

The arc DE will be same length as arc AC because angle ABC and angle DBE are same that is 39 degrees.

So, arc DE = 41

So, the answer is DE = 41 degrees .... Answer : option D

Hope it will help :)

5 0

3 years ago

Read 2 more answers

Write an equation Slope:0 Y-intercept:9

Aneli [31]

Answer:

y=9

Step-by-step explanation:

4 0

3 years ago

A researcher claims that the average body mass index (BMI) of adult Canadians is more than 25.0. He takes a SRS of 250 Canadians

Serjik [45]

Answer:

The probability of obtaining a result equivalent to or greater than what was the truly observed value of the test statistic is 0.001.

Step-by-step explanation:

The researcher can use a one sample z test to determine whether his claim is correct or not.

The hypothesis to test whether the mean BMI is more than 25.0, is defined as:

H₀: The mean BMI is not more than 25.0, i.e. μ ≤ 25.0.

Hₐ: The mean BMI is more than 25.0, i.e. μ > 25.0.

The test statistic is defined as:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

The p-value of the test is,

p = 0.001.

The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

A small p-value (typically ≤ 0.05) specifies sufficient proof against the null hypothesis (H₀), so you discard H₀. A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.

The p-value of 0.001 indicates that the probability of obtaining a result equivalent to or greater than what was the truly observed value of the test statistic is 0.001.

As the p-value is very small, the null hypothesis will be rejected at any level of significance.

Thus, concluding that the mean BMI of adult Canadians is more than 25.0.

3 0

4 years ago