You can write an exponential function from two points on the function's graph. For example, write an exponential function y = ab^{x} for a graph that includes (1,1) and (2, 4)
Use the general form of the exponential function y = ab^{x} and substitute for x and y using (1, 1)
1 = ab^{1}
1 = ab
Divide both sides by b to solve for a
Use the general form of the exponential function y = ab^{x} again and substitute for x and y using (2, 4)
4 = ab^{2}
4 = b.
The exponential function is y = (1/4)(4)^{x}
Example #2
Find y = ab^{x} for a graph that includes (1,-2) and (2, -1)
Use the general form of the exponential function y = ab^{x} and substitute for x and y using (1, -2)
-2 = ab^{1}
-2 = ab
Divide both sides by b to solve for a
Use the general form of the exponential function y = ab^{x} again and substitute for x and y using (2, -1)
-1 = ab^{2}
-1 = -2b
1 = 2b
The exponential function is y = -4(1/2)^{x}
Feb 15, 19 12:12 PM
The cavalieri's principle is a
Basic math formulas
Algebra word problems
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Recommended
Scientific Notation Quiz
Graphing Slope Quiz
Adding and Subtracting Matrices Quiz
Factoring Trinomials Quiz
Solving Absolute Value Equations Quiz
Order of Operations Quiz
Types of angles quiz
Feb 15, 19 12:12 PM
The cavalieri's principle is a