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Function Notation Write each of following in function notation. h=2x+5 y=2x-6 k=12a-9 m=25n-120 d=22t c=p^(2)+5p+5

User Tim Joyce
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Final answer:

To convert equations into function notation, we use letters like f(x), g(x), or h(x), where x is the variable. For instance, h=2x+5 becomes h(x) = 2x + 5, and y=2x-6 is written as f(x) = 2x - 6.

Step-by-step explanation:

When writing equations in function notation, we want to express them in the form of f(x), g(x), h(x), etc., where the letters represent functions and x is the variable. Here's how the given equations translate to function notation:

  • For h=2x+5, the function notation is h(x) = 2x + 5.
  • For y=2x-6, we write it as f(x) = 2x - 6, with f often used to represent a function when y is the function of x.
  • For k=12a-9, we can express it as k(a) = 12a - 9.
  • In the case of m=25n-120, it looks like m(n) = 25n - 120.
  • For d=22t, function notation would be d(t) = 22t.
  • c=p^2+5p+5 is written as c(p) = p^2 + 5p + 5.

Using function notation allows for a clearer and more standardized form to represent functions, making it easier to differentiate them from variables and constants.