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3 years ago

The function f is defined by f(x)=3x+k, where k is a constant. Find k, if the graph of f passes through the point (−1,8).

Mathematics

1 answer:

Gelneren [198K]3 years ago

8 0

Answer:

k = 11

Step-by-step explanation:

f(x)=3x+k,

We know the input is -1 so replace x with -1 and the output is 8 so replace f(x) with 9

8 = 3(-1) +k

8 = -3+k

Add 3 to each side

8+3 = -3+3+k

11= k

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Step-by-step explanation:

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Absolute Value Property

$\displaystyle \large{ |a| = \sqrt{ {a}^{2} } }$

Given a = any expressions and b = any positive numbers, zero or any expressions.

$\displaystyle \large{ |a| = b \longrightarrow a = \pm b}$

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$\displaystyle \large{ 7 - 7 + m = \pm12 - 7} \\ \displaystyle \large{ m = \pm12 - 7}$

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Refer to the attachment. The region is when the absolute value function is greater than constant function y = 12 or a blue horizontal line.

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