Math 3 EOC Review 1

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value for all values of the variable(s) involved.

Front

If (x + 5) is a factor of the polynomial y = x^3 + 4x^2 - 11x + k, what does it imply about the polynomial?

Back

It implies that when x = -5, the polynomial evaluates to zero.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables and solve for y.

Front

What is the range of the function f(x) = -|x + 3| + 2?

Back

The range is y ≤ 2, meaning the output values are less than or equal to 2.

Front

What are the zeros of a function?

Back

The zeros of a function are the values of x that make the function equal to zero.

Front

How do you determine if (x + 2) is a factor of a polynomial?

Back

You can use synthetic division or the factor theorem to check if the polynomial evaluates to zero at x = -2.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if the output values fall.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.