4.1- 4.3 Review

Front

What is the missing value when x = 10 in the equation that results in 62?

Back

The missing value is 62.

Front

Is the equation linear or nonlinear?

Back

The equation is linear.

Front

Describe the volume change of a balloon over time.

Back

The volume of the balloon increases at a constant rate, then stays constant, then increases, then constant, and increases at a constant rate.

Front

Which function represents the table of values: f(x) = 4x, f(x) = x^3, f(x) = 4^x, f(x) = 4^{x-1}?

Back

The function that represents the table of values is f(x) = 4^x.

Front

Which function generates the graph: y=3x, y=x^2, y=x+3, y=x^3?

Back

The function that generates the graph is y=x^3.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and can include curves, parabolas, and other shapes.

Front

What does it mean for a function to be increasing at a constant rate?

Back

It means that for equal increments in the input, the output increases by the same amount.

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is f(x) = a * b^x, where a is a constant and b is the base.

Front

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

Back

A linear function has a degree of 1 and graphs as a straight line, while a quadratic function has a degree of 2 and graphs as a parabola.