Homework on Functions - Questions

  1. Describe what a function does in your own words:
  • A function (f) is a mathematical operation with variables (Ex = Input x) that changes the result depending on the value introduced in the variable. The value of the output depends on the value of the input.
  • A function (f) is a set of rules that will be applied to an variable input (Ex= Variable x). The value of the output depends on the value of the input.
  1. 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) = Because 2 is an even number then = 2^2 = 4 = 4
  • b) f(7) = 17 Because 7 is an odd number then = 7+10 = 17
  • c) f(0) = 0 Because 0 is an even number then = 0^0 = 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 takes an input, executes a process and outputs an answer.

2.a) 4
b) 17
c) 0

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

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  1. A function is a command and/or formula that gives an output based on a certain input.

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

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

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  1. A function is a computation that takes an input and calculates an output based on the specific operation it was set to apply.

a) f(2) = 4
b) f(7) = 17
c) f(0) = 0

  1. f(x) = x/4 -5
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1.a function is a commond which is given by a program it calculate and give an output

What happened to the remaining questions answers🤔.

  1. If the saying is true that “You reap what you sow”, then a given function defines what someone must specifically sow (input) in order to specifically reap (output).

  2. a) 4
    b) 17
    c) 0

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

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Homework on Functions– Questions

Describe what a function does in your own words

A function is a mathematical tool that applies various mathematical operations to a particular input in order to derive a final output (based on that initial input). Functions can also apply multiple mathematical operations to more than one input at a time, in order to produce, once again, a final output.

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

Mathematically, this translates as:
f(x) = x/4 - 5

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  1. A function produces an output by applying different calculations on an input.

  2. a) 4
    b) 17
    c)0

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

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1 - Functions are what we use to resolve a math calculation, given an input. The math operations, gives us the correct output, with the given conditions

2-
A) - 4
B) - 17
C) - 0

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

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  1. Function does the computation by taking into an input that relates to an output. Like a machine, one has to put something (input) from one end of the machine, then it gets changed within the machine (function), and come out from the other end a complete product (output).

  2. f(2) = 4; f(7) = 17; f(0) = 0

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

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  1. A function is like a program it tells you what to calculate and in which order and how, it shows the relation between input and output.

2a) f(2) = 2 *2 + 4
2b) f(7) = 17
2c) f(0) = 0

  1. f(x) = (x / 4) - 5
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  1. A function is a mathematical equation with x being the variable and the input. The answer you get being the output.
  2. a) = 4
    b) = 17
    c) = 0
  3. f(x)=(x/4) -5
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  1. A mathematical computation with x is a variable.

A. 4
B. 17
C. 0

  1. f(x) = (x/4)-5
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  1. function is a formula that ensures an output according the parameter applied to the imput

a) 4
b) 17
c) 0
3) f(x) = (x/4)-5

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1: A function is a mathematical computation, where a certain input correlates to a certain 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. A function performs an operation using a set of inputs.
  2. Outputs:
    a. 4
    b. 17
    c. 0
  3. f(x) = { (x/4) - 5 }
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  1. Function is a mathematical equation where inputs are taken and certain operations are performed on those inputs.
  2. f(2)= 4
    f(3)= 13
    f(0)=0
  3. f(x)= x/4-5
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  1. A function takes the input and gives an output based on the defined equation within the function. It can be a function based on one or several variables.

  2. a) 2^2=2x2=4
    b)7+10=17
    c)0^0=0

  1. f(x)=(x/4)-5
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  1. Function is a mathematical command of which it computes an output through dictating an input that satisfies a pre-determined set of rules

a. 4
b. 17
c. 0

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

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