Final Exam Review Flashcard

Front

What is the result of the expression (5 + 7i) - (-5 - i)?

Back

10 + 8i

Front

How do you express a function that has been moved 3 units to the right in function notation?

Back

f(x - 3)

Front

If f(x) = x^2 + x and g(x) = 3x + 1, what is f(g(4))?

Back

182

Front

Which function corresponds to the graph of f(x) = \frac{-4}{x+2}?

Back

The function matches the graph.

Front

What is the slope of the line represented by the ratio -5/4?

Back

-5/4

Front

Define a complex number.

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What does it mean for a function to be shifted vertically?

Back

A vertical shift occurs when a constant is added or subtracted from the function, affecting its output values.

Front

Explain the concept of function composition.

Back

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

Front

What is the definition of slope in a linear equation?

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.