Alg 2 Final Practice

What is the value of x in the equation?

Express your answer as a decimal.

Solve the following proportion for x:

Consider this function. Which value of the domain has no real value for the range?

• 0

• 1

• 3

• 5

A function of x is described below. \(f(x) = \frac{1}{x - 2}\). Which of these describes the domain of x for the function?

• All real values of x except -2

• All real values of x except 2

• All real values of x except \(-\frac{1}{2}\)

• All real values of x except 0

For what value of x is the function below undefined?

Mathematical Equivalence

ON

What negative real number is not in the domain?

Mathematical Equivalence

ON

For which value of x is f(x) = 1 / (27 - 9x) undefined?

• 3

• 9

Mark is asked to find the maximum value of the function shown. ( f(x) = -x²+ 4x + 4 ) He decides to complete the square to reveal the maximum value. Which shows the function Mark created, and the maximum value of this function?

• f(x) = -(x - 2)² + 8, and the maximum value of f(x) is 8.

• f(x) = -(x - 2)² - 4, and the maximum value of f(x) is -4.

• f(x) = (x - 2)² + 4, and the maximum value of f(x) is 4.

• f(x) = -(x - 2)², and the maximum value of f(x) is 0.

Which equation is the vertex form of ( y = 2x² - 12x - 2 ) ?

• y = 2(x - 3)² + 8

• y = 2(x - 6)² - 2

• y = 2(x - 6)² - 74

• y = 2(x - 3)² - 20

A quadratic function is rewritten by completing the square. At one step, the function f(x) + 4 = (x + 4)^2 is written. What is the line of symmetry of the function?

• x = -4

• x = 16

• x = 4

• x = -16