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For each of the following functions use the quadratic formula tofind the zeros o

ID: 3089257 • Letter: F

Question

For each of the following functions use the quadratic formula tofind the zeros of f. Then, find the maximum or minimumvalue of f(x). (a) f(x) =x2 - 4x

Zeros of f (If there are no real zeros, enter NONE.)
1 (smaller value)
2 (larger value)

Maximum or Minimum Value of f(x)
The 3---Select---minimummaximum value of f(x) is 4 when x = 5.

(b) f(x) = -2x2 - 10x + 12

Zeros of f (If there are no real zeros, enter NONE.)
6 (smaller value)
7 (larger value)

Maximum or Minimum Value of f(x)
The 8---Select---maximumminimum value of f(x) is 9 when x = 10. (a) f(x) =x2 - 4x

Zeros of f (If there are no real zeros, enter NONE.)
1 (smaller value)
2 (larger value)

Maximum or Minimum Value of f(x)
The 3---Select---minimummaximum value of f(x) is 4 when x = 5.

(b) f(x) = -2x2 - 10x + 12

Zeros of f (If there are no real zeros, enter NONE.)
6 (smaller value)
7 (larger value)

Maximum or Minimum Value of f(x)
The 8---Select---maximumminimum value of f(x) is 9 when x = 10.

Explanation / Answer

(a) f(x) = x2 - 4x Factor x2 - 4x= 0 (x + 2) (x -2) Zeros = -2 and 2 The minimum value is y -4 at x = 2 (b) f(x) = -2x2 - 10x + 12 = 2x2 + 10x - 12 = 0 = x2 + 5x - 6 = 0 Factor (x + 6) (x - 1) zeros at -6 and 1 Maximum value is y = 24.5 at x = -2.5

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