Question

if the replacement set for the independent variable of the function f(x)=2x^2+1 is {2,4,6,10} what is the corresponding set for the dependent variable

Answer 1

9514 1404 393

Answer:

{9, 33, 73, 201}

Explanation:

Put each of the values in place of the variable and do the arithmetic. For example, ...

f(10) = 2(10)² +1 = 201 . . . . . 201 is in the output set, corresponding to x=10.

__

I find repetitive calculations are done easily by a graphing calculator or spreadsheet.

The corresponding set for the dependent variable is {9, 33, 73, 201}.