Finding the equation of an exponential function from a graph
Asked by admin @ in Mathematics viewed by 318 People
Write an equation for the exponential function represented in the table and graph below.
Asked by admin @ in Mathematics viewed by 318 People
Write an equation for the exponential function represented in the table and graph below.
Answered by admin @
Given:
Given that the values of x and y in the table.
We need to determine the equation for the exponential function represented in the table and graph the equation.
Equation for the exponential function:
The general equation for the exponential function is given by
------- (1)
Substituting the coordinate (0,6) in equation (1), we get;
Thus, the value of a is 6.
Substituting a = 6 in equation (1), we have;
-------- (2)
Substituting the coordinate (1,12) in equation (2), we get;
Thus, the value of b is 2.
Substituting b = 2 in equation (2), we get;
Thus, the equation for the exponential function is
The image of the graph of the exponential function is attached below:
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