6. Critique a Fallacy Mrs. Carter asks her class to write the expression for the exponential function with two distinct function values of (-2,1) and (0,49) .Elora says that she needs more information to express the function analytically. What is wrong with Elora's statement? Write the exponential function.

To find the exponential function that passes through the points (-2, 1) and (0, 49), we can use the general form of an exponential function: y = ab^x.<br /><br />Using the point (0, 49), we can substitute the values of x and y into the equation to find the value of a:<br />49 = ab^0<br />49 = a(1)<br />49 = a<br /><br />Now, using the point (-2, 1), we can substitute the values of x and y into the equation to find the value of b:<br />1 = 49b^-2<br />1 = 49/b^2<br />b^2 = 49<br />b = √49<br />b = 7<br /><br />Therefore, the exponential function is y = 49(7)^x.