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Anastaziya [24]
3 years ago
10

The function graphed is reflected across the x-axis to create a new function. Which is true about the domain and range of each f

unction? Both the domain and range change. Both the range and domain stay the same. The domain stays the same, but the range changes. The range stays the same, but the domain changes.
Mathematics
2 answers:
AnnZ [28]3 years ago
7 0

Answer:

The domain stays the same, but the range changes.

Step-by-step explanation:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate changes to its opposite.

⇒ The x-coordinates of the points are the domain.

⇒ The y-coordinates make up the range.

The x-coordinate or the domain remains the same.

The y-coordinate or the range changes.

serg [7]3 years ago
4 0

Answer:

Domain stays the same while the range changes

Step-by-step explanation:

While reflecting cross x-axis, the x coordinates remains the same while the y-coordinate changes to its opposite.

=> x- coordinate = Domain

=> y-coordinate = Range

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The answer is 2

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Answer:

The rule for the linear function will be:

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Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points from the table to determine the slope

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  • (2, 1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:3\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)

m=\frac{1-3}{2-1}

m=-2

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (1, 3)

y-y_1=m\left(x-x_1\right)

y - 3 = -2 (x-1)

y-3 = -2x+2

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y = -2x+5

or

f(x) = -2x+5

Therefore, the rule for the linear function will be:

f(x) = -2x+5

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<h3>The experiment</h3>

From the question, we understand that:

The Fresno Mall plans to survey teenagers about a newly developed soft drink

This implies that the experiment is the survey of teenagers for a new soft drink

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Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

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<h3>A possible event</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

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Probabilities, in this scenario are used to determine the proportions of outcomes, events and it is used to make informed decisions

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