Homework on Functions - Questions

A function is where x is the variable.

  1. a) 2, b) 17 c) 0

f(x) = (x/4)- 5

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  1. A function performs an operation/s to an input to produce an output

2a. 4
2b. 17
2c. 0

  1. f(x)=(x/4)-5
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  1. A function performs a calculation with variables based on input.

a) 4
b) 17
c) 0

  1. f(x) = x/4-5
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  1. A function is a calculation. It has an input and an output.

  2. a) f(2)=2^2=4
    b) f(7))=7+10=17
    c) f(0)=0^2=0

  3. f(x)=x/4-5

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  1. Describe what a function does in your own words
    A function is an executable line of code that tells the computer what to do.
    A function can can also take an input and perform a task with it returning a new output.

  2. Calculate the output of the following function:
    a) 4
    b) 17
    c) 0

  3. Write the definition of a function f that takes an input x, divides it by four and then outputs that result subtracted by 5.
    f(x) = {
    x / 4 - 5
    }

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Hi everyone, so during the lecture I felt like I understood how to do the math. It actually seemed easy but now I’m finding myself struggling to figure out how people got to their answers. Like I can kind of understand but I would love it if someone could do a breakdown or guide me to an answer that shows how it was done. I watched the lecture more than once so any help would be appreciated! Thanks in advance! :slight_smile:

Btw what throws me off is the “if x is even” and “if x is odd”

Calculate the output of the following function

f(x) = {

x^2 if x is even

x+10 if x is odd

}

What will be the output for the following inputs?

  • a) f(2)
  • b) f(7)
  • c) f(0)
  1. Write the definition of a function f that takes an input x, divides it by four and then outputs that result subtracted by 5.

Even number is a whole number that is able to be divided by two into two equal whole numbers, for example 0,2,4,8… are even numbers.
Odd number is a whole number that is not able to be divided by two into two equal whole numbers, for example 1,3,5,…are odd number.

Is a branching function. Simply meaning you decide the path the function will take based on the function input. So in case where x = 7, it means that x is an odd number and therefore you use the second path (x + 10). And in case x= 2, since 2 is even number, you use the first path. f(2) = 2^2 = 4.

^ this symbol in mathematics always means to the power of, that means if you take (a) as an example f(2) = 2^2 or simpler f(2) = 2x2. if we had to the power of 4 (^4) and took the f(2) as a factor then we would have f(2) = 2^4 which mean f(2) = 2 x2 x2 x2 = 16.

F(x) is simply a notation for a function where x is the function variable or input. To get the formula for x you should read the question more carefully:

It states you should write a function f, that takes an input x and divides it by 4 => x/4 . Then outputs that result subtracted by 5 => (x/4) - 5 .

You could split this in two parts or functions a(x) which divides the input by 4 => a(x) = x/4 and takes this input in a new function that then subtracts the input by 5 => b(x) = a(x) - 5 or to simplify in one function you would get f(x) = x/4 - 5 .

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THANK YOU!! I appreciate the timely response and effort into breaking it down for me in a way i can understand. :slight_smile:

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  1. A function takes an input and creates an output. Basically, a computation following specific rules.

  2. a) 4 b) 17 c) 0

  3. f(x) = (x/4) - 5

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  1. It doesn the same calculation to whatever input you put in it.

a. 4
b. 17
c. 0

f(x) = (x/4)-5

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  1. Describe what a function does in your own words

You can compare it with a machine that always has an input and an output. The output is related to some extend to the input.

  1. Calculate the output of the following function
    f(x) = {

x^2 if x is even

x+10 if x is odd

}

X= 1
What will be the output for the following inputs?
• a) f(2) = 4
• b) f(7) = 13
• c) f(0) = 0

  1. Write the definition of a function f that takes an input x, divides it by four and then outputs that result subtracted by 5.

F (x) = (X/4) -5

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1.a function is a code that is written and can be called multiple times referencing the commands given earlier, it saves time of rewriting important or bulky codes

a.4
b.17
c.0

3.f(x)=x/4 -5

also i guess its possibly
f(x/4)= -5

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  1. a function is a calculation that when you have some kind of input, it goes through the function and has a specific output.

  2. 4, 17, 0

  3. f(x) = {(x/4)-5}

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Calculate the output of the following function

evenf(x) = {4,16,36,64…
oddf(x)={11,13,15,…
x^2 if x is even

x+10 if x is odd

}

What will be the output for the following inputs?

a) f(2)=4

b) f(7)=17

c) f(0)=0

Write the definition of a function f that takes an input x, divides it by four and then outputs that result subtracted by 5
f(x)=(x/4)-5

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  1. A function is a computation that takes inputs and returns an output
  2. a. 4
    b. 17
    c. 0
  3. f(x) = (x / 4) - 5
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  1. A function takes an input and computes an output within given parameters.

  2. A) 4, B)17 , C) 0

  3. f(x) = (x/4)-5

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  1. A function takes an input and then performs an action to produce an output.

  2. a) 4 b) 17 c) 0

  3. f(x) = (x/4)-5

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  1. A function applies a set of rules to a variable to produce an output
  2. a) 4 b) 17 c) 0
  3. f(x) = (x/4)-5
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Function-

  1. A function is a mathematical computation that takes an input, computes it and gives an output.

  2. a. 4
    b. 17
    c. 0

  3. f(x) = (x/4) - 5

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  1. A function takes an input, perform some math operations, and then gives you an output as a result.
  2. a) 2, b) 17, c) 0
  3. f (x) = (x/4) - 5
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