Question

Which of the following functions of x has an appearance range of {-1, 0, 2}?

a. g(x) = x^2 - 1
b. h(x) = sin(x)
c. j(x) = 2x + 1
d. None

Answer 1

The function that has an appearance range of {-1, 0, 2} is option (d) None.

Step-by-step explanation:

The function that has an appearance range of {-1, 0, 2} is option (d) None.

Option (a) g(x) = x^2 - 1 is a parabola that opens upwards and does not pass through the points {-1, 0, 2}.

Option (b) h(x) = sin(x) is a periodic function that oscillates between -1 and 1, but it does not take the values {-1, 0, 2}.

Option (c) j(x) = 2x + 1 is a linear function whose appearance range is the set of all real numbers, not just {-1, 0, 2}.