Front

Identify the Range of the function f(x) = x^2 - 2.

Back

The range is [ -2, ∞ ).

Front

Simplify the expression: (x^3 * x^2) / x^4.

Back

The simplified expression is x^1 or x.

Front

Simplify: (2^3 * 2^2) / 2^4.

Back

The simplified expression is 2^1 or 2.

Front

Solve the radical equation: √(x + 9) = 3.

Back

x = 0.

Front

True or False: The range of a quadratic function is always all real numbers.

Back

False. The range of a quadratic function is not all real numbers; it is limited to values above or below the vertex.

Front

What is the definition of a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root or cube root.

Front

Define the term 'exponent'.

Back

An exponent is a number that indicates how many times to multiply the base by itself.

Front

What is the product of powers property?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient of powers property?

Back

The quotient of powers property states that when dividing two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the definition of a function's domain?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.