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tekilochka [14]

3 years ago

9

A function is created to represent the amount of texts sent each month. What restrictions would be made to the range?. The range

would only include integers.. The range would only include positive integers.. The range would only include negative integers.. The range would include all real numbers..

1 answer:

forsale [732]3 years ago

6 0

A range is the amount of time from a start of the action up to the end of the action so in your question where a function is created to present the amount of text sent each month. So the best possible restriction of the range is "The range would only include positive integers"

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Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

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Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

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Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

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$5 = 2a + b$

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Substituting (3, 33), and c = 6

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$33 = a(3)^2 + b(3) + 6$

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Subtract equation 1 from equation 2 to solve simultaneously for a and b.

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Replace a with 4 in equation 2.

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The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

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