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3 years ago

14

Which are the side lengths of a right triangle? Check all that apply. 3, 14, and StartRoot 205 EndRoot 6, 11, and StartRoot 158

EndRoot 19, 180, and 181 3, 19, and StartRoot 380 EndRoot 2, 9, and StartRoot 85 EndRoot

2 answers:

Tems11 [23]3 years ago

5 0

Answer:

a,c,e

Step-by-step explanation:

Correct me if I'm wrong!

Thank you

Tisa B Sora

Irina-Kira [14]3 years ago

4 0

It A, C, and E on edge 2020

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A. f(x) = l-2xl - 3<br> Domain: {1, 2, 3}<br> Find the range

gizmo_the_mogwai [7]

Hello there!

We are given the function:

$\displaystyle \large{ f(x) = | - 2x| - 3} \\$

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.

Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.

So, we substitute x = 1,2 and 3 in the function.

<u>x</u><u> </u><u>=</u><u> </u><u>1</u>

$\displaystyle \large{ f(1) = | - 2(1)| - 3} \\ \displaystyle \large{ f(1) = | - 2| - 3} \\$

Recall that any numbers in absolute value are always positive.

$\displaystyle \large{ f(1) = 2 - 3} \\ \displaystyle \large{ f(1) = - 1} \\$

<u>x</u><u> </u><u>=</u><u> </u><u>2</u>

$\displaystyle \large{ f(2) = | - 2(2)| - 3} \\ \displaystyle \large{ f(2) = | - 4 | - 3} \\ \displaystyle \large{ f(2) = 4 - 3} \\ \displaystyle \large{ f(2) = 1}$

<u>x</u><u> </u><u>=</u><u> </u><u>3</u>

$\displaystyle \large{ f(3) = | - 2(3)| - 3} \\ \displaystyle \large{ f(3) = | - 6| - 3} \\ \displaystyle \large{ f(3) = 6 - 3} \\ \displaystyle \large{ f(3) = 3}$

Therefore, Range: {-1,1,3}

Let me know if you have any questions!

Topic: Absolute Value Function / Modulus Function

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