Question

The graph represents the function g(x). Suppose that f(x) = −x. Which is true when comparing the range of f(x) to g(x)?

A) The range for g(x) is y > 0, and the range for f(x) is all real numbers.
B) The range for both functions is all real numbers.
C) The range for both functions is y > 0.
D) The range for g(x) is all real numbers, and the range for f(x) is all positive real numbers.

Answer 1

A

Explanation:

The range for g(x) is y > 0, and the range for f(x) is all real numbers.

The exponential function g(x) will approach the x-axis at zero, but it will never touch the axis. Therefore, y > 0. For the linear function, f(x) = −x, the range is all real numbers.

Answer 2

Answer: A

Explanation: