Practice Exam

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different intervals of its domain.

Front

How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function at a specific point, determine which interval the point falls into and then use the corresponding expression to find the function's value.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, and it is used to express complex numbers.

Front

How do you simplify expressions involving 'i'?

Back

To simplify expressions involving 'i', replace 'i^2' with -1 and combine like terms.

Front

What is function composition?

Back

Function composition is the process of applying one function to the results of another function, denoted as (g ∘ f)(x) = g(f(x)).

Front

How do you find the composition of two functions?

Back

To find the composition of two functions, substitute the output of the first function into the second function.

Front

What is a vector in component form?

Back

A vector in component form is expressed as (x, y), where x and y represent the horizontal and vertical changes from the initial point to the terminal point.

Front

How do you calculate the component form of a vector given two points?

Back

To calculate the component form of a vector given two points A(x1, y1) and B(x2, y2), use the formula (x2 - x1, y2 - y1).

Front

What does m(x) represent in mathematics?

Back

m(x) typically represents a function of x, where m is the name of the function.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's expression.