EOC Prep NC Math 3 (editted)

Front

What is the definition of a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) = 0.

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 an absolute value equation?

Back

An absolute value equation is an equation that contains an absolute value expression, which represents the distance of a number from zero on the number line.

Front

What does the expression |x - a| ≤ b represent?

Back

It represents all values of x that are within a distance b from a on the number line.

Front

What is the effect of increasing the value of k in the equation y = k|x + 2| - 4?

Back

Increasing k stretches the graph vertically.

Front

What happens to the graph of y = |x + k| - 4 as k decreases?

Back

The graph shifts to the right.

Front

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

Back

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

Front

How do you determine if a number is a zero of a polynomial function?

Back

Substitute the number into the function; if the result is zero, it is a zero of the function.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

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

Back

A function is vertically compressed when the value of a is between 0 and 1 in the equation y = a|x|.