Algebra Unit #3 Functions and Their Graphs Review

Front

What is the domain in inequality notation?

Back

-2 ≤ x ≤ 2

Front

Write a rule that defines function g for Harry Potter's gold coins after w weeks.

Back

g(w) = 10000 - 850w

Front

What does D(0) = 10 mean in the context of Luke's driving distance?

Back

Luke's remaining distance is 10 miles after 0 minutes.

Front

Solve g(w) = 9150 and explain the solution.

Back

g(1) = 9150, After one week, Harry has 9150 gold coins remaining in his vault.

Front

f(x) is the same thing as ______.

Back

y

Front

What is a function?

Back

A relation that assigns exactly one output for each input.

Front

What is the range of a function?

Back

The set of all possible output values.

Front

What is the difference between independent and dependent variables?

Back

Independent variables are inputs (x), while dependent variables are outputs (y).

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.