contestada

Which function is quadratic?

Function f is defined by f(x) = 1.5^x. Function g is defined by g(x) = 500x^2 + 345x

1. Function f
2. Function g

Respuesta :

Ashraf82

Answer:

g(x) is a quadratic function ⇒ 2

Step-by-step explanation:

  • The quadratic function is the function that has 2 as the greatest power of the variable
  • The form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant

Let us use the information above to solve the question

∵ f(x) = [tex]1.5^{x}[/tex]

∵ x is the exponent of the base 1.5

→ That means f(x) is not in the form of the quadratic function

∴ f(x) is not in the form of the quadratic function above

∴ f(x) does not represent a quadratic function

∴ f(x) is not a quadratic function

∵ g(x) = 500x² + 345x

∴ The greatest power of x is 2

→ That means g(x) is in the form of the quadratic function above

∵ g(x) is in the form of the quadratic function above, where a = 500,

   b = 345, and c = 0 (constant values)

∴ g(x) represents a quadratic function

∴ g(x) is a quadratic function

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