PreCalc BC Final Review Semester 1

Front

Which graph matches the equation?

Back

Graph B is the correct match for the given equation.

Front

Identify the transformations: horizontal shift to the left 2 and vertical stretch by a factor of 3; horizontal shift to the right 2 and vertical stretch by a factor of 3; horizontal shift to the right 2 and vertical compression by a factor of 3; horizontal shift to the left 2 and vertical compression by a factor of 3.

Back

The correct transformation is: horizontal shift to the right 2 and vertical stretch by a factor of 3.

Front

What is the carrying capacity of the following graph?

Back

The carrying capacity is 1000.

Front

State the domain restrictions: x ≠ 3; -2; 6; -1; x ≠ -1; 6; x ≠ 3; -2; No Domain Restrictions.

Back

The domain restrictions are: x ≠ -1, 6.

Front

Solve for x: log₂(x + 5) = 3

Back

x = 3.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between a vertical stretch and a vertical compression?

Back

A vertical stretch multiplies the output by a factor greater than 1, while a vertical compression multiplies the output by a factor between 0 and 1.

Front

Define the term 'carrying capacity' in the context of a graph.

Back

Carrying capacity refers to the maximum population size that an environment can sustain indefinitely.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

Explain the concept of domain in a function.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.