Alg 2 - Ch 6 - Review

Front

What is the graph of the function y = (√x) - 5?

Back

The graph is a square root function shifted down 5 units. It starts at the point (0, -5) and increases to the right.

Front

Simplify \( \sqrt{88} \)

Back

\( 2\sqrt{22} \)

Front

Simplify (2a^2b^4z)(6a^3b^2z^5)

Back

\( 12a^5b^6z^6 \)

Front

Simplify the expression: 5a^5b^4c

Back

5a^5b^4c is already simplified.

Front

What is f(g(x)) if f(x) = \( \frac{1}{3}x \) and g(x) = 3x?

Back

f(g(x)) = x.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

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

Back

The domain is x ≥ 0.

Front

What is the range of the function y = (√x) - 5?

Back

The range is y ≥ -5.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form.

Front

What is the product of powers property?

Back

When multiplying like bases, add the exponents: a^m * a^n = a^(m+n).