Algebra 2 Study Guide Unit 5

Identify which of the following situations represents exponential growth.

• Option 1

• Option 2

• Option 3

• Option 4

• 1

Identify the domain and range of function graphed below:

• Domain: all real numbers; Range: all real numbers

• Domain: x > 0; Range: y > 0

• Domain: all real numbers; y > 0

• Domain: x < 0; Range: y > 0

Identify the equation that best represents the following situation. An acidophilus culture containing 150 bacteria doubles in population every hour.

• Initial amount

• Rate of increase

• Number of time periods

• Growth factor

• x = -2

• x = -1

• no solution

• x = 0

• y = -1; Domain: all real numbers; Range: all real numbers, y > 1

• y = 1; Domain: all real numbers; Range: all real numbers

• y = 1; Domain: all real numbers, x > 1; Range: all real numbers

• y = 1; Domain: all real numbers; Range: all real numbers, y > 1

• vertical transformation down one unit

• vertical transformation up one unit

• horizontal transformation to the right one unit

• horizontal transformation to the left one unit

• Positive: (-∞, ∞ ); Negative: none; Increasing: none; Decreasing: (-∞,∞)

• Positive: (-∞,∞ ); Negative: none; Increasing: (-∞,∞ ); Decreasing: none

• Positive: (-∞,1); Negative: none; Increasing: (-∞,∞); Decreasing: none

• Positive: (-∞, 0); Negative: none; Increasing: (-∞,∞); Decreasing: none

Which function below shows exponential decay?