Review for Semester Exam Part 1

Front

What is the graph of an absolute value function?

Back

The graph of an absolute value function is a V-shaped graph that opens upwards, with the vertex at the point where the expression inside the absolute value equals zero.

Front

What is the axis of symmetry?

Back

The axis of symmetry is a vertical line that divides a parabola into two mirror-image halves. For the function y = ax^2 + bx + c, the axis of symmetry can be found using the formula x = -b/(2a).

Front

How many terms does a polynomial have?

Back

A polynomial can have one or more terms. The number of terms is determined by the number of distinct monomials in the expression.

Front

What is the next step in solving the absolute value equation 3 |6x − 2| = 12?

Back

Divide both sides by 3 to isolate the absolute value expression: |6x - 2| = 4.

Front

Which method is appropriate for factoring the binomial x^2 - 9?

Back

The difference of squares method is appropriate, as it can be factored into (x - 3)(x + 3).

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the non-negative value of its input, defined as f(x) = |x|.

Front

What does it mean for a function to be even?

Back

A function is even if f(-x) = f(x) for all x in the domain, which means its graph is symmetric about the y-axis.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

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

Back

The vertex of a parabola in standard form can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the difference between a polynomial and a binomial?

Back

A polynomial is a mathematical expression that can have multiple terms, while a binomial specifically has exactly two terms.