NC Math III - EOC Review

Front

What is the equation of the absolute value function?

Back

f(x) = |x| + 4

Front

Solve the equation: |x – 12| - 3 = 11.

Back

x = -2, 26

Front

What is the equation of the graph represented by f(x) = I x - 2 I?

Back

f(x) = |x - 2|

Front

Evaluate: log₄16

Back

2

Front

Perform the polynomial long division: (3x^3 + 5x - 1) ÷ (x + 1)

Back

3x^2 - 3x + 8 - \frac{9}{x+1}

Front

What is the definition of an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero, defined as f(x) = |x|.

Front

What is the general form of a quadratic function?

Back

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

Front

What does the logarithm log_b(a) represent?

Back

It represents the exponent to which the base b must be raised to produce the number a.

Front

What is the relationship between exponential and logarithmic functions?

Back

Exponential functions can be converted to logarithmic form and vice versa; if b^y = x, then log_b(x) = y.

Front

What is the vertex form of a quadratic function?

Back

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