1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VLD [36.1K]
2 years ago
12

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

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
6 0

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

You might be interested in
WILL GIVE BRAINLIEST (NO LINKS ALLOWED)
Setler [38]
B pretty sure that it’s that
8 0
3 years ago
Read 2 more answers
Which of the following is the algebraic form for the verbal statement shown: "12 more than the product 4 and a number, n" - A. n
katrin2010 [14]
If you mean “13 more than the product 4 and a number, n”
then the answer is B

the word product means multiply

and 12 more means adding 12 to the product
6 0
3 years ago
Read 2 more answers
What are two different ways you can show 103?
valina [46]

Answer:

100+3, a hundred three.

Step-by-step explanation:

4 0
3 years ago
What is the answer ? Please
eduard

Answer:

The most reasonable unit to measure the 'volume' of a large pot would be:

A: Quarts

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP 30 PTS ):
ASHA 777 [7]

Answer:


Step-by-step explanation:

It's an exponential function but it is going in the negative direction. So now you know there has to be a negative in front of the function meaning it can only be c or d. Since we know its a exponential function. If we set x = 0, it will give us the y intercept. Which should be 1. However it is -2. Therefore it it multiplied by -2 meaning d is right answer

6 0
3 years ago
Read 2 more answers
Other questions:
  • Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose
    10·2 answers
  • If the price of gas is $9.475, what will the price be when we round it to the hundredths place?
    10·2 answers
  • Solve the equation 2p/3-12=-2
    11·1 answer
  • The equation K = mv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the
    14·2 answers
  • A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have ta
    13·1 answer
  • A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the
    5·1 answer
  • Someone explain how to do dis
    10·1 answer
  • Select the correct answer.
    9·2 answers
  • Please help :) Thank you
    8·1 answer
  • 11 2 1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!