Linear, Exponential and Quadratic Functions

Front

What is the general form of a linear function?

Back

A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope of a linear function from a table of values?

Back

The slope can be calculated by taking the difference in the y-values divided by the difference in the x-values between two points on the line.

Front

What is the standard form of a quadratic function?

Back

A quadratic function is typically expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change (slope), while quadratic functions have a variable rate of change, represented by a parabolic graph.

Front

What does it mean for a function to exceed another function?

Back

A function f(x) exceeds another function g(x) when the value of f(x) is greater than g(x) for a given x.

Front

How can you find the y-intercept of a function?

Back

The y-intercept of a function can be found by evaluating the function at x = 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

How do you identify a linear pattern in a sequence of numbers?

Back

A linear pattern is identified when the difference between consecutive terms is constant.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

How do you solve for x when two functions are equal?

Back

To solve for x when two functions are equal, set the two function equations equal to each other and solve for x.