Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question given the function p(t) in the graph below, identify the inter…

Question

question given the function p(t) in the graph below, identify the intervals over which the function appears to be decreasing. write your response in interval notation using the symbol u when necessary. sorry, thats incorrect. try again? (0,1)u(3,4) feedback view answer submit

Explanation:

Step1: Understand decreasing function

A function \( y = f(x) \) is decreasing on an interval if for any two points \( x_1\) and \( x_2\) in the interval with \( x_1

Step2: Analyze the graph

Looking at the graph of \( p(t)\):

  • For the interval \( t\in[0,1]\), as \( t\) increases from \( 0\) to \( 1\), the value of \( p(t)\) decreases.
  • For the interval \( t\in[3,4]\), as \( t\) increases from \( 3\) to \( 4\), the value of \( p(t)\) decreases.

Answer:

\((0,1)\cup(3,4)\)