Alg 2 Honors Practice Test 3

Front

What is the formula for calculating the value of a function at a specific point?

Back

f(x) = y, where x is the input and y is the output of the function.

Front

What does the term 'exponential growth' mean in mathematics?

Back

Exponential growth occurs when a quantity increases by a fixed percentage over a period of time.

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

How do you calculate depreciation of an asset?

Back

Depreciation can be calculated using the formula: Value = Initial Value * (1 - Depreciation Rate)^t, where t is the number of years.

Front

What does the value 1.015 represent in the expression 12(1.015)^t?

Back

It represents a 1.5% increase in the population each year.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.

Front

What is the formula for a linear function?

Back

The formula for a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a function is exponential growth or decay?

Back

If the base of the exponential function is greater than 1, it is exponential growth; if it is between 0 and 1, it is exponential decay.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of the function when x = 0.

Front

What does it mean for a function to be 'decreasing'?

Back

A function is decreasing if, as x increases, the value of f(x) decreases.