HW 9.1 - Comparing Quadratic, Linear, and Exponential Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It has a constant rate of change and can be expressed 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 function in which an independent variable appears in the exponent. It can be expressed in the form y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, which can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you identify a linear function from a table of values?

Back

A linear function will have a constant rate of change between the x-values and y-values in a table.

Front

How do you identify an exponential function from a table of values?

Back

An exponential function will show a constant multiplicative rate of change between the y-values as the x-values increase.

Front

What is the equation for the total cost of x pounds of fruit if the cost is $3 for the basket and $2.50 per pound?

Back

y = 2.50x + 3

Front

What type of function models hourly wages?

Back

Linear function.

Front

What type of function models a population that triples every day?

Back

Exponential growth.

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is constant.

Front

What is the rate of change in an exponential function?

Back

The rate of change in an exponential function is variable.