Writing An Exponential Function From A Table
HOW TO DETERMINE AN EXPONENTIAL FUNCTION FROM A TABLE OF VALUES
Here we are going to see how to determine if the given table of data represents the exponential function or not.
One method is to observe the shape of the graph. But the graph of an exponential function may resemble part of the graph of a quadratic function.
Another way is to use the problem-solving strategy look for a pattern with the data.
Let us look into some example problems to understand the above concept.
Example 1 :
Determine whether each set of data displays exponential behavior.
Solution :
The domain values are at regular intervals of 10. Let's see if there is a common factor among the range values
Since the domain values are at regular intervals and the range values have a common factor, the data are probably exponential. The equation for the data may involve (1/2)x
Exponential equation of the given data is (1/2) x
Example 2 :
Determine whether each set of data displays exponential behavior.
Solution :
The domain values are at regular intervals of 10. The range values have a common difference 6.
The data do not display exponential behavior, but rather linear behavior.
Let us see the next example on "How to determine an exponential function from a table of values".
Example 3 :
Determine whether each set of data displays exponential behavior.
Solution :
The domain values are at regular intervals of 1. Let's see if there is a common factor among the range values
Since the domain values are at regular intervals and the range values have a common factor, the data are probably exponential. The equation for the data may involve 6 x
Exponential equation of the given data is 6 x
Example 4 :
Determine whether each set of data displays exponential behavior.
Solution :
The domain values are at regular intervals of 2. The range values have a common difference 4.
The data do not display exponential behavior, but rather linear behavior.
Example 5 :
Determine whether each set of data displays exponential behavior.
Solution :
The domain values are at regular intervals of 1. The range values have a common difference 3.
The data do not display exponential behavior, but rather linear behavior.
Example 6 :
Determine whether each set of data displays exponential behavior.
Solution :
The domain values are at regular intervals of 1. Let's see if there is a common factor among the range values
Since the domain values are at regular intervals and the range values have a common factor, the data are probably exponential.
The equation for the data may involve 1/2 x
So, exponential equation of the given data is 1/2 x.
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
If you have any feedback about our math content, please mail us :
v4formath@gmail.com
We always appreciate your feedback.
You can also visit the following web pages on different stuff in math.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Algebra word problems
Word problems on trains
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on unit price
Word problems on unit rate
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Double facts word problems
Trigonometry word problems
Percentage word problems
Profit and loss word problems
Markup and markdown word problems
Decimal word problems
Word problems on fractions
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Time and work word problems
Word problems on sets and venn diagrams
Word problems on ages
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Profit and loss shortcuts
Percentage shortcuts
Times table shortcuts
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
Sum of all three four digit numbers formed using 0, 1, 2, 3
Sum of all three four digit numbers formed using 1, 2, 5, 6
Writing An Exponential Function From A Table
Source: https://www.onlinemath4all.com/how-to-determine-an-exponential-function-from-a-table-of-values.html
Posted by: hubbardripplexprem.blogspot.com
0 Response to "Writing An Exponential Function From A Table"
Post a Comment