College Algebra CLEP Prep Practice Exam

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What is the range of the function y = 4x2 - 3x + 8?

  1. 8

  2. 4

  3. All real numbers

  4. Cannot be determined

The correct answer is: All real numbers

The range of a function represents all possible output values of the function. In this case, the function is a quadratic equation, which means it will graph as a parabola. Since the coefficient of the x^2 term is positive (4), the parabola will open upwards and continue infinitely in both positive and negative y directions. Therefore, the range of this function will be all real numbers. Option A is incorrect because 8 is only one specific output value. Option B is incorrect because 4 is the coefficient of the x^2 term, not the range. Option D is incorrect because the given function is a valid quadratic equation and therefore its range can be determined.

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