1. What are the zeros of the function f(x)=x2−7x+12?

Question

A. (3, 0) and (4, 0)
B. (0, −3) and (0, −4)
C. (0, 3) and (0, 4)
D. (−3, 0) and (−4, 0)
2. Determine the extreme value of f(x)=− (x+5) (x−3)
A. The extreme value of f(x) is a minimum at (1,12)
B. The extreme value of f(x) is a minimum at (-1,16)
C. The extreme value of f(x) is a maximum at (−1, 16)
D. The extreme value of f(x) is a maximum at
(1, 12)
3. The two zeros of an unknown quadratic function f(x) are(−6, 0) and (8, 0). Which of the following is the axis of symmetry of f(x)?
A. x=−1
B. x=1
C. x=-7
D. x=7
4. Find the axis of symmetry and the extreme value off(x)=x^2+2x−8.
A. The axis of symmetry is x=−1 and the maximum is at (−1,−9) .
B. The axis of symmetry is x=−1 and the minimum is at (−1,−9) .
C. The axis of symmetry is x=1 and the minimum is at (1,−5) .
D. The axis of symmetry is x=1 and the maximum is at (1,−5) .
5. A quadratic function f(x) has two zeros at (0, 0) and (4, 0). The extreme value of f(x) is a maximum at (2, 12). Which function among the following fits all the properties above?
A. f(x)=3x(x−4)
B. f(x)=−x(x+4)
C. f(x)=−3x(x−4)
D. f(x)=x(x+4)

Answer 1

1. The zeros of the function f(x) = x^2 - 7x + 12 are (3, 0) and (4, 0). Answer: A.

2. The extreme value of f(x) = - (x + 5)(x - 3) is a maximum at (-1, 16). Answer: C.

3. The axis of symmetry of f(x) with zeros (-6, 0) and (8, 0) is x = 1. Answer: B.

4. The axis of symmetry of f(x) = x^2 + 2x - 8 is x = -1 and the minimum is at (-1, -9). Answer: B.

5. The function that fits all the given properties is f(x) = -3x(x - 4). Answer: C.