dwight creates a table of values for a function and plots the points. he finds that one y value divided by…

dwight creates a table of values for a function and plots the points. he finds that one y value divided by the next y value produces the same answer each time. what kind of function did he graph?\nlinear\nquadratic\nsquare root\nexponential

dwight creates a table of values for a function and plots the points. he finds that one y value divided by the next y value produces the same answer each time. what kind of function did he graph?\nlinear\nquadratic\nsquare root\nexponential

Answer

Brief Explanations:

For an exponential function of the form $y = a\cdot b^x$, if we take two - consecutive values $y_1=a\cdot b^{x_1}$ and $y_2=a\cdot b^{x_1 + 1}$, then $\frac{y_2}{y_1}=\frac{a\cdot b^{x_1+1}}{a\cdot b^{x_1}}=b$, a constant ratio. In a linear function, the difference between consecutive $y$ - values is constant. In a quadratic function, the second - differences are constant. In a square - root function, there is no such constant ratio property for consecutive $y$ - values.

Answer:

exponential