two questions I need help with

Suppose that a function f has no x-intercepts.

Which of the following statements MUST be true?

A. The graph of f has no points whose x-coordinate is 0.

B. The graph of f is a horizontal line.

C. f is an invertible function.

D. f has no real-number zeros.

The graph of y = f (x) is shown at the left and the graph of y = g(x) is shown at the right. (No formulas are given.) What is the relationship between g(x) and f (x)?

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