College Algebra CLEP Prep Practice Exam

What is the domain of the function y = x^2 – 7x + 12?

1. All real numbers

2. All positive real numbers

3. x > 7

4. x < 7

The correct answer is: All real numbers

The domain of a function refers to the set of all possible input values, which are typically represented by the variable x. In this function, there are no restrictions on what values x can take on, as long as they are real numbers. Therefore, the correct answer is A All real numbers. Option B, All positive real numbers, is incorrect because it implies that x cannot be negative, which is not a restriction in this function. Options C and D are both incorrect because they give a specific range for x, rather than all possible values. In fact, the value of x can be both greater than or less than 7, so neither of these options is accurate. In summary, the correct answer is A because there are no limitations on the possible input values for this function. All real numbers are valid inputs for the function y = x^2 – 7x