10

Set 2: Polynomial Functions (Advanced)

Explanation

Answer: C
  • 15 - - - - - - A circle in the xy-plane has the equation (x − 13)2 + ( y − k)2 = 64. Which of the following gives the center of the circle and its radius?

Choose the correct answer.

A.

The center is at (k, 13) and the radius is 64.

B.

The center is at (13, k) and the radius is 64. - 16 - - - - - - The function f is defined by f (x ) = 1x − 4x I. What value of a satisfies f (5) − f (a) = −15 ? A) −20 B) 5 C) 10 D) 45 - 17 - - - - - - For the exponential function f, the value of f (0) is c, where c is a constant. Of the following equations that define the function f, which equation shows the value of c as the coefficient or the base? A) f (x ) = 22(1.5)x+1 B) f (x ) = 33(1.5)x C) f (x ) = 49.5(1.5)x−1 D) f (x ) = 74.25(1.5)x−2 Module

C.

The center is at (13, k) and the radius is 8.

✓ Correct
D.

The center is at (k, 13) and the radius is 8.

Detailed Explanation

Choice C is correct. No explanation provided.

Key Steps:

The correct answer is The center is at (13, k) and the radius is 8.

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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