Algebraic Expressions and Functions

Front

What is the degree of the polynomial function y = 25 - x^2?

Back

The degree is 2.

Front

What does it mean if a function has a positive x-intercept?

Back

It means the function crosses the x-axis at a point where x is positive.

Front

What is the result of expanding (x + 3)(x + 1)?

Back

The result is x^2 + 4x + 3.

Front

Describe the transformation of the function f(x) = (x - 7)^2.

Back

The transformation is a shift to the right by 7 units.

Front

What is an onto function?

Back

An onto function is one where every element in the range has a corresponding element in the domain.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the difference between a function and a relation?

Back

A function is a relation where each input has exactly one output.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the roots of a quadratic equation: x = (-b ± √(b^2 - 4ac)) / (2a).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, f(x) also increases.