Algebra B Review Week 15

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value). If any input has multiple outputs, it is not a function.

Front

What is the process to simplify the expression (3x^2 + 4x - 2) - (5x + 7)?

Back

Combine like terms: 3x^2 + 4x - 2 - 5x - 7 = 3x^2 - x - 9.

Front

How do you solve the equation 97 = -3(6n - 5) - 8?

Back

First, distribute: 97 = -18n + 15 - 8. Then, combine like terms and isolate n to find n = -5.

Front

What does f(1) mean in function notation?

Back

f(1) represents the output of the function f when the input is 1.

Front

How do you evaluate f(-2) for the function f(x) = x^2 + 3?

Back

Substitute -2 into the function: f(-2) = (-2)^2 + 3 = 4 + 3 = 7.

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the vertex of a parabola represented by the quadratic function f(x) = ax^2 + bx + c?

Back

The vertex can be found using the formula x = -b/(2a). The y-coordinate can be found by substituting this x-value back into the function.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.