Function Behavior Analysis: Multiplying Numbers by 0.5 Using Graphs and Tables

Question

Determine whether the function is increasing, decreasing, or constant. For each function, check your answers using a graph or a table:
Each number is multiplied by 0.5.

Video Solution

Solution Steps

00:00 Is the function increasing, decreasing, or constant?
00:04 Let's check using a table
00:10 Let's substitute X values and calculate the Y values
00:36 We can see that the function is increasing
00:40 And this is the solution to the question

Step-by-Step Solution

The function is:

f(x)=0.5x f(x)=0.5x

Let's start with x equal to 0:

f(0)=0×0.5=0 f(0)=0\times0.5=0

Now let's assume x is equal to 1:

f(1)=1×0.5=0.5 f(1)=1\times0.5=0.5

Now let's assume x is equal to 2:

f(2)=2×0.5=1 f(2)=2\times0.5=1

Let's record all the data in a table:

X01200.51f(x)Note that the function is always increasing.

Answer

Growing

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Question Types

Increasing and Decreasing Intervals of a Function: Identifying increase and decrease from a verbal description of the function