Answered

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A) The f (x) has both a greater x-intercept and y-intercept. B) The g (x) has both a greater x-intercept and y-intercept. C) The f (x) has a greater x-intercept and smaller y-intercept. D) The g (x) has a greater x-intercept and smaller y-intercept.

A The F X Has Both A Greater Xintercept And Yintercept B The G X Has Both A Greater Xintercept And Yintercept C The F X Has A Greater Xintercept And Smaller Yin class=

Sagot :

To be able to determine the correct state comparison, let's first determine the graph of f(x) = x² - 6x + 9.

We get,

The most obvious observation among the two graphs is that f(x) has a greater x-intercept than g(x).

When it comes to the y-intercept, at x = 0, f(x) = 9.

However at g(x), at y = 9, the x coordinate is not yet zero, thus, we can assume that at x = 0, the y-intercept of g(x) is greater than 9.

Therefore, the correct statement is:

The f (x) has a greater x-intercept and smaller y-intercept.

The answer is letter C.

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