Which of the following is the correct table of values for the function f(x) = x² + 3?

Which of the following is the correct table of values for the function f(x) = x² + 3?

• A. For x=0, f(x)=3; for x=1, f(x)=4; for x=2, f(x)=7
• B. For x=1, f(x)=3; for x=2, f(x)=5; for x=3, f(x)=9
• C. For x=2, f(x)=4; for x=3, f(x)=6; for x=4, f(x)=10
• D. For x=3, f(x)=12; for x=4, f(x)=19; for x=5, f(x)=28

Answer: (A)

To determine the correct table of values for the function f(x) = x² + 3, we need to calculate the output of the function for different values of x. This function is a quadratic function where the output is the square of the input plus 3. Starting with the first option: when x = 0, f(0) = 0² + 3 = 3. For x = 1, f(1) = 1² + 3 = 1 + 3 = 4. Finally, for x = 2, f(2) = 2² + 3 = 4 + 3 = 7. All these calculations match the table given in this option, confirming that this option accurately represents the function's values. Each output corresponds precisely to the respective input of x provided in the table, making this choice correct. The values maintain consistency with the form of the function, demonstrating the expected output for the inputs listed.

To determine the correct table of values for the function f(x) = x² + 3, we need to calculate the output of the function for different values of x. This function is a quadratic function where the output is the square of the input plus 3.

Starting with the first option: when x = 0, f(0) = 0² + 3 = 3. For x = 1, f(1) = 1² + 3 = 1 + 3 = 4. Finally, for x = 2, f(2) = 2² + 3 = 4 + 3 = 7. All these calculations match the table given in this option, confirming that this option accurately represents the function's values.

Each output corresponds precisely to the respective input of x provided in the table, making this choice correct. The values maintain consistency with the form of the function, demonstrating the expected output for the inputs listed.