Linear, Quadratic, or Exponential Practice

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

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

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically written in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

Identify the type of function: y = 2x + 3

Back

Linear

Front

Identify the type of function: y = x^2 - 4x + 4

Back

Quadratic

Front

Identify the type of function: y = 5^x

Back

Exponential

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How can you determine if a table of values represents a linear function?

Back

If the differences between consecutive y-values are constant, the table represents a linear function.

Front

How can you determine if a table of values represents an exponential function?

Back

If the ratios of consecutive y-values are constant, the table represents an exponential function.