Chapter 6.1, Problem 54E

To determine

if the argument is correct that, the table below represent an exponential function as y is multiplied by a constant factor:

x	0	1	3	6
y	2	10	50	250

Answer to Problem 54E

No, the table doesn’t represent an exponential function.

Explanation of Solution

Concept used:

Exponential function:

  $y=a{b}^x$........(1)

Here, the y-values changes by a factor of b as x increases by 1 and the y intercept is a.

For the table to represent exponential function, the x values must increase or decrease by a constant value as the y values changes by a factor of b.

Here, even though the y is multiplied by a constant factor but the value of x is not increasing by a constant factor.

So, the given table doesn’t represent an exponential function.