Key Features of Linear, Quadratic and Exponential Functions

Front

What is the y-intercept of a function?

Back

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

Front

What is the significance of the ordered pair (0, -2) to the graph?

Back

It is the y-intercept.

Front

What is an x-intercept?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, represented as (x, 0).

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.

Front

How do you find the x-intercept of the function y = 2x - 6?

Back

Set y to 0 and solve for x: 0 = 2x - 6, which gives x = 3. Thus, the x-intercept is (3, 0).

Front

What is the general form of a quadratic function?

Back

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

Front

What is the vertex of a parabola?

Back

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

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches or crosses.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What does the term 'exponential function' refer to?

Back

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