Algebra 2 CP Review

Front

What does it mean for two functions to be inverses of each other?

Back

Two functions are inverses if the output of one function becomes the input of the other, resulting in the original input. For example, if f(x) = y, then f^(-1)(y) = x.

Tags

CCSS.HSF-BF.B.4B

Front

Back

The domain is all real numbers except for x = 0, written as @@x e 0@@.

Front

What characterizes exponential growth?

Back

Exponential growth occurs when a quantity increases by a constant percentage over equal time intervals, resulting in a rapid increase.

Tags

CCSS.HSF-IF.C.8B

Front

How do you solve for the number of dimes if Emil has $6.45 in quarters and dimes, with 9 more quarters than dimes?

Back

Let d be the number of dimes. Then, the number of quarters is d + 9. The equation is 0.10d + 0.25(d + 9) = 6.45. Solving gives d = 12.

Tags

CCSS.8.EE.C.7B

Front

What is the formula for compound interest?

Back

The formula is 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 interest is compounded per year, and t is the number of years.

Front

Back

Using the compound interest formula, A = 8000(1 + 0.03/1)^(1*4) = $9,004.07.

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while exponential functions have a variable rate of change and graph as curves that increase or decrease rapidly.

Front

What is the significance of the y-intercept in a linear function?

Back

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

Front

How do you determine if a function is linear from its graph?

Back

A function is linear if its graph forms a straight line, indicating a constant rate of change.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the formula for the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5