Correct! Algebra 2 Chapter 6 Review (2024-2025)

Front

What is the approximate balance of an account after 2 years if the graph shows a balance of about $3400?

Back

The approximate balance of the account on the 2nd year is about $3400.

Front

What does the graph of the inequality 3y - 2x ≥ 9 look like?

Back

The graph has a solid line for 3y - 2x = 9 and shading above the line.

Front

Solve the equation: 3ˣ + 2 = 6

Back

x = 1.2612

Front

Find the inverse of the function: y = log₄(x-5)

Back

The inverse is y = 4x + 5.

Front

Back

Front

What is the definition of a function's inverse?

Back

A function's inverse reverses the effect of the original function, such that if f(x) = y, then f⁻¹(y) = x.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dashed line indicates they are not included (> or <).

Front

How do you solve exponential equations like 3ˣ = 4?

Back

Take the logarithm of both sides: x = log₃(4) = log(4)/log(3).

Front

What is the logarithmic form of the equation 4 = 2²?

Back

The logarithmic form is log₂(4) = 2.

Front

What is the domain of the function y = log₄(x-5)?

Back

The domain is x > 5.