College Algebra CLEP Prep Practice Exam

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What is the range of the function f(x) = -3x + 1?

All real numbers
All negative real numbers
All positive real numbers
x < 1

The correct answer is: All real numbers

The range of a function is the set of all possible output values that the function can produce. In this case, the function f(x) = -3x + 1 is a linear function, where the coefficient of x is negative. This means that as the input value of x increases, the output value of the function will decrease. The function also has no restrictions, such as a horizontal asymptote or a zero in the denominator, which would limit the range of the function. Therefore, the function can produce all real numbers as output, making option A the correct answer. Options B, C, and D are incorrect because they only include specific subsets of real numbers, while option A encompasses all real numbers. Additionally, option D refers to a relationship between the input and output values, rather than the range of the function itself.