ALM Semester 1 Final Review

Front

What is the average rate of change of a function f(x) from x = a to x = b?

Back

The average rate of change of a function f(x) from x = a to x = b is calculated as (f(b) - f(a)) / (b - a).

Front

What is the solution to the quadratic equation x² - 4x - 5 = 0?

Back

The solutions are x = -1 and x = 5.

Front

How does the transformation f(x) = x² shift the graph 2 units to the left?

Back

The transformation f(x - 2) shifts the graph 2 units to the left.

Front

What is the domain of the function f(x) = √(x - 4)?

Back

The domain is x ≥ 4.

Front

What is the sum of √16 and √9?

Back

The sum is 7.

Front

What is the formula for the average rate of change of a function?

Back

The formula is (f(b) - f(a)) / (b - a).

Front

What are the roots of the equation x² - 4x - 5 = 0?

Back

The roots are x = -1 and x = 5.

Front

What does the transformation f(x + 2) do to the graph of f(x)?

Back

It shifts the graph 2 units to the left.

Front

What is the range of the function f(x) = √(x - 4)?

Back

The range is all real numbers greater than or equal to 0.

Front

What is the value of √25?

Back

The value is 5.