Practice Questions for Algebra - Quadratic Equations | CRE 5 - Graph & Maximum or Minimum value of Quadratic function

1. CRE 5 - Graph & Maximum or Minimum value of Quadratic function | Algebra - Quadratic Equations

Find the minimum value of the expression: x² - 4x + 10.

(a)
10
(b)
5
(c)
-6
(d)
6
(e)
None of these

2. CRE 5 - Graph & Maximum or Minimum value of Quadratic function | Algebra - Quadratic Equations

Find the maximum value of the expression: -2x² - 4x + 11.

(a)
12
(b)
11
(c)
13
(d)
14
(e)
None of these

3. CRE 5 - Graph & Maximum or Minimum value of Quadratic function | Algebra - Quadratic Equations

f(x) is a quadratic expression such that the coefficient of x² is negative. If the roots of f(x) = 0 lie in the interval (-1, 1), then which of the following is necessarily true?

(a)
f(2) > 0 & f(2) > 0
(b)
f(2) > 0 & f(-2) < 0
(c)
f(2) < 0 & f(-2) > 0
(d)
f(2) < 0 & f(-2) < 0
(e)
Cannot be determined

4. CRE 5 - Graph & Maximum or Minimum value of Quadratic function | Algebra - Quadratic Equations

f(x) is a quadratic expression such that the coefficient of x² is positive. If the roots of f(x) = 0 lie on either sides of x = -1, then which of the following is necessarily true about f(-1)?

(a)
f(-1) > 0
(b)
f(-1) < 0
(c)
f(-1) = 0
(d)
Cannot be determined

CRE 5 - Graph & Maximum or Minimum value of Quadratic function | Algebra - Quadratic Equations

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