Lesson 2.1: Relations and Functions Answers

Suppose that you could replace the ordered pair (1, 4) to make the relation R (shown left) into a function. Which ordered pair would work?

f(0) =

The graph above: ✔ one-to-one functionfunction (but not one-to-one) relation (but not a function)

What is the dependent (output) variable?n, the number of necklaces$6, the shipping cost✔ c, the total cost (in dollars)

Domain: {–2, –1, 0, 2, 3, 4}✔ {–2, –1, 0, 4}{–2, 2, 3, 4}

Use the drop downs to determine which symbols would complete the inequality for the range.

Is the relation a function? ✔ yesX no

functionnot a function

What is the special name of f(0)? the x-intercept✔ the y-intercept

What is the domain? n>=0✔ n=0, 1, 2, 3,...all real numbers

Explain why your relation is a function.

less than or equal to✔ less thangreater than or equal togreater than

The table above: function✔ not a function

Which equation expresses the order’s total cost, c, as a function of the number of necklaces, n?n(c)=7c + 6n(c)=7c - 6✔ c(n)=7n + 6c(n)=7n - 6

Domain: {–1}{–1, 2, 4, 5}{–3, –1, 1}{–3, –1, 1, 2, 4, 5}

Range: {–1}{–1, 2, 4, 5}{–3, –1, 1}{–3, –1, 1, 2, 4, 5}

Domain: {–2, –1, 0, 2, 3, 4}✔ {–2, –1, 0, 4}{–2, 2, 3, 4}

Range: {–2, –1, 0, 2, 3, 4}{–2, –1, 0, 4}✔ {–2, 2, 3, 4}

−4 ___(a)___ x ___(b)___ 4