Linear, Quadratic, or Exponential? Graphs & Equations

Front

What are the three main types of function families in algebra?

Back

Linear, Quadratic, Exponential

Front

What is the general form of a linear function?

Back

f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the general form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the general form of an exponential function?

Back

f(x) = a * b^x, where a is a constant and b is the base of the exponential.

Front

How can you identify a linear function from its graph?

Back

A linear function's graph is a straight line.

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function's graph is a parabola, which opens either upwards or downwards.

Front

How can you identify an exponential function from its graph?

Back

An exponential function's graph shows rapid growth or decay, and is not a straight line.

Front

What is the slope of a linear function?

Back

The slope (m) represents the rate of change of the function and is constant.

Front

What does the vertex of a quadratic function represent?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph intersects the y-axis (x=0).