Homework on Functions - Questions

  1. A function is a computational “box” that takes in some kind of input and produces an output based on the manipulations/calculations that are programmed into the function.
  2. Answers:
    a) 4
    b) 17
    c) 0
  3. f(x) = x/4-5
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  1. A function is a mathematical equation that deducts a variable output value based on a fixed input value.

  2. A. 4 B. 17 C. 0

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

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A function is a calculation based on a given equation and an unknown set to see where in the function (or the graf if you printing out the function) you wanna look.

A) f(2)=2^2-> f(2)=4
B) f(7)=7+10->f(7)=17
C) f(0)=0

  1. f(x)=x/4-5
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a mathematical equation that provides an output based on the input and function parameters

a) 4
b) 17
c) 0

f(x) = x/4 - 5

  1. It is a computation that will caculate the outputs for various inputs
  2. 4 - 17 -0
  3. f(x) = {(x/4)-5}
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  1. Describe what a function does in your own words
    Every unique input creates an unique output
  2. 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) = 4
  • b) f(7) = 17
  • 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 an equation that defines an out put for a given place input

A. 2^2=4
B. 7+10=17
C. 0^2=0

  1. f(x)=x/4-5
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a) only equals even x 2 when x = 2
a number raised to the second power would be that number times itself once
f(4) = 4^2 = 4 x 4 = 16

b) should be odd + 10

cool?

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A function runs some computational or mathematical operations on given input value(s) to produce output value(s).

f(x) = x^2 if x is even
f(x) = x+10 if x is odd

f(1) = 1+10=11
f(2) = 2^2 = 4
f(7) = 7+10=17
f(0) = 0^2 = 0

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

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It performs calculations on an input and gives that calculation as output.
a) =4
b) = 17
c) = 0
f(x) = {
(x/4)-5
}

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1 a function just describes an input and its output, a calculation

2
a x = 4
b x = 17
c x = 0 is not defined in the function above

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

If you had told me in gymnasium that I was ever going to use this in future, I would have declared you crazy!

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  1. Describe what a function does in your own words

A function is a standard computation with a variable input.

  1. Calculate the output of the following function
  • a) f(2) = 4
  • b) f(7) = 17
  • 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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Function=math formula where a number is modified by the same rules every time
A=4
B=17
C=0
F(x)=((x/4)-5)

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Had to check 0 was even not odd

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I think you mixxed up even with odd :wink:

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Homework on Functions - Questions

  1. Describe what a function does in your own words
    Function does the same action to every value given to it.
  2. 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) answer= 4
  • b) f(7) answer = 17
  • c) f(0) answer = 10
  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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The parity of zero is even.
so f(0)=0^2=0

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function is a computation
a) f(2) = { x^2 if x is even x+10 if x is odd} 2^2 is 4 (even)
b) f(7) = { x^2 if x is even x+10 if x is odd} 7^2 is 14 (even) 7+10 is 17 (odd)
c) f(0) = { x^2 if x is even x+10 if x is odd} 0^2 is 0 (even) 0 + 10 is 10 (even)

f(x/4) = x - 5 if x = 20 than f(20/4) = 5 - 5 is 0

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a.) f(2) = 4
b.) f(7) = 17
c.) f(0) = 2
f (x/4) = x-5

  1. Describe what a function does in your own words
    A function takes and input, computes and afterwards exports and output.

  2. 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) = 2x2 = 4
  • b) f(7) = 7+10 = 17
  • c) f(0) = 0x0 = 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
    }
1 Like