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interpreting graphs of functions due on 11.06.2025 26 total points 2 to…

Question

interpreting graphs of functions
due on 11.06.2025 26 total points 2 total attempts
directions
review what youve learned and reflect on what you understand.

  1. explain what you learned in this lesson as if you were explaining it to another student.
  2. rate how well you understood the lesson.

question 1
what does it mean when a function is increasing over an interval?
the graph is going straight down.
the input values decrease as output increases.
the output values increase as input increases.
the output values stay the same as input increases.
question 2
between minutes 0 and 4, what does the increasing part of the graph represent?
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Explanation:

Step1: Analyze each option

For a function \(y = f(x)\), if it is increasing over an interval:

  • If the graph is going straight down (\(y\) decreases as \(x\) increases), it is a decreasing function.
  • If input values (\(x\)) decrease as output (\(y\)) increases, it is not an increasing function.
  • If output values (\(y\)) stay the same as input (\(x\)) increases, it is a constant function.
  • If output values (\(y\)) increase as input (\(x\)) increases, by the definition of an increasing function \(x_1

Answer:

The output values increase as input increases.