Question

Which of the following best describes the range of

y = –2x4
+ 7?
A. y ≤ –2
B. y ≥ 7
C. y ≤ 7
D. All real numbers

Answer 1

retype the question correctly or you can upload a screenshot.

Answer 2

The range of the function y = -2x^4 + 7 is the set of all possible values of y that the function can output. Since the highest power of x in the function is 4 and the coefficient of that term is negative, the function is a downward-facing parabola. This means that the maximum value of the function occurs at the vertex, which is located at x = 0. Substituting x = 0 into the function gives y = 7. Therefore, the range of the function is y ≤ 7.

So, the correct option is C. y ≤ 7.