AE Chapter 7 Test Review

Front

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables. It is often solved for one variable in terms of the others.

Front

Solve the literal equation for A: h = 2A/h.

Back

A = \frac{h^2}{2}.

Front

What are the steps to solve a quadratic equation?

Back

1. Set the equation to zero. 2. Factor the quadratic if possible. 3. Use the quadratic formula if factoring is not possible.

Front

Solve the quadratic equation: 3x^2 - 192 = 0.

Back

x = -8, 8.

Front

What is a function?

Back

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

Front

Given f(x) = 3x + 10, what is f(-10)?

Back

f(-10) = 3(-10) + 10 = -20.

Front

What is function composition?

Back

Function composition is the process of applying one function to the results of another function.

Front

Find g(f(-10)) if f(x) = 3x + 10 and g(x) = x - 2.

Back

g(f(-10)) = g(-20) = -20 - 2 = -22.

Front

What is the natural domain of a function?

Back

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

Front

Determine the natural domain of f(x) = \sqrt{2 - x}.

Back

x \le 2.