Exponential Functions - Math 1

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 a positive real number, and x is the exponent. It shows rapid growth or decay.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when a quantity increases at a rate proportional to its current value, while exponential decay occurs when a quantity decreases at a rate proportional to its current value.

Front

Identify the type of function: y = 3^x.

Back

Exponential

Front

Identify the type of function: y = x^2 + 2x + 1.

Back

Quadratic

Front

Identify the type of function: y = 2x + 5.

Back

Linear

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the time in years.

Front

If Alan invests $2000 at 6% interest compounded annually, what is his investment worth after 2 years?

Back

$2247

Front

If Samantha takes out a $20,000 loan at 3.4% interest compounded monthly, how much will she owe after 5 years?

Back

$23,700

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be quadratic?

Back

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