# Decreasing Graph

### Section 2.1 Increasing, Decreasing, and Piecewise Functions ...

Find the intervals on which the function is increasing or decreasing and determine any relative maxima or minima. Example 3 Graph the function. Find the intervals on which the function is increasing or decreasing and find any relative maxima or minima.

### Calculus-Increasing/Decreasing Functions

Revised August 2, 2000 Steve Boast Page 3 Calculus-Increasing/Decreasing Functions 3. The graph of the derivatives of two functions f and g are given below.

### Increasing, Decreasing, and Piecewise Functions

1 Section 2.1 Increasing, Decreasing, and Piecewise Functions Over some OPENinterval a function will do 1 of three things Increase -the graph will rise as you move to the right Decrease -the graph will fall as you move to the right Remain constant -the graph will be a horizontal line On and open interval : a ...

### How to FindEquations for Exponential Functions

The slope m determines if the graph is increasing or decreasing, and how quickly. A positive slope indicates the graph is increasing, and a negative slope indicates the graph is decreasing.

### Piecewise Function

Increasing, Decreasing, and Constant Functions On a given interval, if the graph of a function rises from left to right, it is said to be increasing on that interval.

### Determining the Intervals on Which a Function is Increasing ...

From this section, you should be able to Explain what we mean by an increasing (decreasing) function and relative extremum State intervals where a function is increasing (decreasing) from a graph of the function State intervals where a polynomial, exponential or logarithmic function is increasing ...

### DERIVATIVE CRITERIA FOR INCREASING AND DECREASING FUNCTIONS

Step 4: Make a conclusion about the intervals where the function is increasing and where it is decreasing. f(x) is increasing on _____ f(x) is decreasing on _____ Let's look at figure 3.6 on page 191 to see what can happen at critical points of a graph.

### Increasing and decreasing functions Solutions

The graph's y values are decreasing along this piece. So we have (-1, 5) under decreasing. The fourth and last piece is from there to the right end of the graph, where the graph is again increasing.

### Section 3.3 Increasing and Decreasing Functions and the First ...

Whenever the graph is decreasing the derivative must be negative. So the derivative should be negative on the following intervals € −∞, −1 () and 0,1 (). Whenever the graph is increasing the derivative must be positive.