2. Graphs of Equations

Graph each function.

$\text{ƒ}\left(x\right)=-\text{√}x-2$

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) = x², g(x) = x² - 2

Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3

y = x² + 2

Fill in the blank(s) to correctly complete each sentence. The function $g\left(x\right)=\text{√}x$ has domain ________.

Determine whether each function is even, odd, or neither. ƒ(x)=x³-x+9

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.

Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3

y = 9 - x²

In Exercises 55–64, use the vertical line test to identify graphs in which y is a function of x.

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

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 77–92, use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

Evaluate each function at the given values of the independent variable and simplify. h(x) = x³ − x + 1 b. h (-2)

In Exercises 77–92, use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

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

Determine the intervals of the domain over which each function is continuous.