Algebra Unit 4: Introduction to Functions Test Review

Front

What is the definition of a function in mathematics?

Back

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

Front

How do you determine the domain of a function from a set of ordered pairs?

Back

The domain of a function is the set of all first elements (inputs) from the ordered pairs.

Front

How do you determine the range of a function from a set of ordered pairs?

Back

The range of a function is the set of all second elements (outputs) from the ordered pairs.

Front

What is the domain of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

D: {-4, 0, 1, 2}.

Front

What is the range of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

R: {-4, -3, 1}.

Front

How do you solve for a variable in a proportion, such as \( \frac{3}{5} = \frac{x-4}{5} \)?

Back

Cross-multiply to find x: 3 * 5 = 5 * (x - 4), then solve for x.

Front

What is the solution for x in the equation \( \frac{3}{5} = \frac{x-4}{5} \)?

Back

x = 7.

Front

What is the range of the function \( f(x) = x^2 - 6 \) when the domain is \{3, 4, 5\}?

Back

The range is \{3, 10, 19\}.

Front

How do you evaluate a function at a specific point, such as \( g(-2) \) for \( g(x) = 3x - 5 \)?

Back

Substitute -2 into the function: g(-2) = 3(-2) - 5 = -11.

Front

What is the value of \( g(-2) \) for the function \( g(x) = 3x - 5 \)?

Back

g(-2) = -11.