Final answer:
To evaluate the function f(x) = 2x²-3x+1, simply substitute x with the given values and simplify. The evaluated expressions are f(3)=10, f(-2)=15, f(0)=1, and f(1)=0.
Step-by-step explanation:
For the function f(x) = 2x² - 3x + 1:A. f(3) equals 10, obtained by substituting 3 for x and simplifying.B. f(-2) equals 15, calculated by replacing x with -2 and simplifying the expression.C. f(0) results in 1, as substituting 0 for x simplifies the equation to 1.D. f(1) evaluates to 0, achieved by substituting 1 for x and simplifying. Each calculation involves substituting the given value into the function and performing the necessary mathematical operations, yielding the respective outputs.