Math 4 Review

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does the y-intercept of a function represent?

Back

The y-intercept of a function is the point where the graph of the function intersects the y-axis, represented as (0, f(0)).

Front

How do you find the sum of two functions f(n) and g(n)?

Back

To find the sum of two functions, you add their outputs: (f + g)(n) = f(n) + g(n).

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a constant percentage over a period of time, typically modeled by the function f(t) = a(1 + r)^t.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time, typically modeled by f(t) = a(1 - r)^t for decay.

Front

How do you determine the vertex of a quadratic function?

Back

The vertex of a quadratic function in standard form f(x) = ax² + bx + c can be found using the formula x = -b/(2a).

Front

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

Back

The leading coefficient (a) determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the formula for the sum of two quadratic functions?

Back

If f(x) = ax² + bx + c and g(x) = dx² + ex + f, then (f + g)(x) = (a + d)x² + (b + e)x + (c + f).

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, indicating a constant rate of change.