2. Graphs of Equations

In Exercises 11–26, determine whether each equation defines y as a function of x. |x| − y = 2

Use the vertical line test to identify graphs in which y is a function of x.

Determine whether each relation is a function. Give the domain and range for each relation.{(1, 2), (3, 4), (5, 5)}

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify.f(x)=4x+5 c. f(-x)

Use the vertical line test to identify graphs in which y is a function of x.

Determine whether each equation defines y as a function of x. 2x + y^2 = 6

Write each English sentence as an equation in two variables. Then graph the equation. The y-value is three decreased by the square of the x-value.

In Exercises 39–50, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x)= |x|, g(x) = |x| +1

Use the graph to a. determine the x-intercepts, if any; b. determine the y-intercepts, if any. For each graph, tick marks along the axes represent one unit each.

In Exercises 1–10, determine whether each relation is a function. Give the domain and range for each relation. {(-3, -3), (-2, −2), (−1, −1), (0, 0)}

Write each English sentence as an equation in two variables. Then graph the equation. y = 5 (Let x = -3, - 2, - 1, 0, 1, 2, and 3.)

Evaluate each function at the given values of the independent variable and simplify. $f\left(r\right)=\sqrt{r+6}+3$

$\text{a. }f(x-6)$

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. f(r) = √(r + 6) +3 b. f(10)

In Exercises 1–10, determine whether each relation is a function. Give the domain and range for each relation. {(1, 4), (1, 5), (1, 6)}