Key Features of Linear, Quadratic and Exponential Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

What are the x-intercepts of a function?

Back

The x-intercepts of a function are the points where the graph of the function crosses the x-axis, meaning the output (y-value) is zero.

Front

What are the y-intercepts of a function?

Back

The y-intercepts of a function are the points where the graph of the function crosses the y-axis, meaning the input (x-value) is zero.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a).

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

What is the difference between a linear and a quadratic function?

Back

A linear function graphs to a straight line, while a quadratic function graphs to a parabola (U-shaped curve).

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.

Front

How do you find the zero of a function?

Back

To find the zero of a function, set the function equal to zero and solve for the variable.