1

Set 5: Polynomial Functions (Intermediate)

Explanation

Answer: A
  • 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 (13, k) and the radius is 8.

✓ Correct
B.

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

C.

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

D.

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

Detailed Explanation

Choice A 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:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C 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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