Student Problem #3 Unit I Concept 1:Graphing exponential functions

STUDENT PROBLEM#3 NOT ONE 

• What is the problem about?

This photo covers a real life problem of Unit I Concept  1 which deals with the graphing of exponential graphs. In this concept we deal with the equation y=a(b)^x-h+k and this equation is the basis of solving to find the rest of the elements in the problem. Once again, this concept deals with previous concepts that have come back to actually play another role in solving this type of problem such as knowing how to find the x and y intercepts involving logs and ln, how to find the domain and range of the equation, and how to label the numbers correctly with the right letter by remembering the equation used for this section. In this problem we also deal with figuring out the horizontal asymptote since it is an exponential graph and it has specific rules for the domain and range. 

• What must the reader pay close attention to in order not to make a mistake? 

In order for the reader not to make a mistake when trying to graph an exponential graph is that you need to make sure that you memorize the equation y=a(b)^x-h +k. This is the basis of this problem because you need to know which numbers plug into the variables or else you may get the incorrect answer. You also need to make sure you know how to solve for the x intercept by setting y=0 and how to find the y intercept by setting x=0. Since this problem is an exponential graph you also must remember that these graphs have no restriction on domain but the range is restricted. The range depends on the asymptote and also on the number that a ends up being in your equation. The range is also depended on the variable a because if it is positive you have to make sure the range is (the #, inf.), and if (A) is negative it will be (-inf., #).