Question

this launch is bananas.
a banana is launched from a slingshot into the air from a cliff. the path of the banana is shown
below by function ( b(x) ). work with a partner to decide if each statement about the path of the
banana is true or false. be prepared to defend your answers. all measurements are given in
feet.

1. the interval of increase

of the function is ( 0 < x < 4 ).

Explanation:

A function is increasing when as \(x\) (distance from cannon) increases, \(b(x)\) (distance above ground) also increases. From \(x = 0\) to \(x=3\), the distance above ground increases (\(6\) at \(x = 0\), \(10\) at \(x=1\), \(12\) at \(x = 2\), \(12\) at \(x=3\)). But at \(x = 4\), the distance above ground (\(10\)) is less than at \(x = 3\) (\(12\)). So the function is increasing on \(0\lt x\lt3\), not \(0\lt x\lt4\).

Answer:

False