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2 years ago

The equation 4x + 2 has a domain of {0,3,6), what is the range

Mathematics

1 answer:

ser-zykov [4K]2 years ago

3 0

<h3><u>Explanation</u></h3>

Domain and Range

Domain is basically an input while Range is an output. Domain is the set of all x-values while Range is the set of y-values.

$\large \boxed {domain} = > \large \boxed{range}$

From input to output. That means from if we substitute domain in the equation, we would get range.

Substitute x = 0,3 and 6 in the equation.

$f(x) = 4x + 2 \\ f(0) = 4(0) + 2 = 0 + 2 = 2 \\ f(3) = 4(3) + 2 = 12 + 2 = 14 \\ f(6) = 4(6) + 2 = 24 + 2 = 26$

We input the value of x that are given and we get the value of f(x) which is the output at the specified domain.

<h3><u>Answer</u></h3>

Range

$\large \boxed{2, 14, 26}$

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3 years ago

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The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te

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Answer:

C. <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

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represents the following transformations:

vertical scaling by a factor of 'a'
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<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

k = 3
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The graph says the value of c is less than zero.

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

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1 year ago

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