Function Analysis at -1: Determining Increasing or Decreasing Behavior

Question

Determine whether the function is increasing, decreasing, or constant. Check your answer with a graph or table.

For each number corresponding to the number −1 -1 .

Video Solution

Solution Steps

00:00 Is the function increasing, decreasing or constant?
00:03 Let's draw the function graph
00:10 Let's substitute X values and find the corresponding Y values
00:31 Now let's substitute negative X values to check the left side of the graph
00:39 We can see that the function is increasing
00:44 And this is the solution to the question

Step-by-Step Solution

The function is:

f(x)=x−1 f(x)=x-1

Let's start with x equal to 0:

f(0)=0−1=−1 f(0)=0-1=-1

Now let's assume x is equal to 1:

f(1)=1−1=0 f(1)=1-1=0

Now let's assume x is equal to 2:

f(2)=2−1=1 f(2)=2-1=1

Now let's assume x is equal to minus 1:

f(−1)=(−1)−1=−2 f(-1)=(-1)-1=-2

Let's plot all the points on the function graph:

–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666–3–3–3–2–2–2–1–1–1111222000

It appears that the function we obtained is an increasing function.

Answer

Increasing

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Increasing and Decreasing Intervals (Functions) Functions for Seventh Grade Increasing functions Decreasing function Constant Function Decreasing Interval of a function Increasing Intervals of a function

Question Types

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