2. Graphs of Equations

Graph each function. Give the domain and range. ƒ(x)=[[2x]]

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. y = √x +4

Evaluate each function at the given values of the independent variable and simplify. f(x) = |x+3|/(x + 3) c. f(−9 - x)

In Exercises 11–26, determine whether each equation defines y as a function of x. xy - 5y =1

Plot the given point in a rectangular coordinate system. (- 4, - 2)

Graph each equation in Exercises 1–4. Let x= -3, -2. -1, 0, 1, 2 and 3. y = x^2-3

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.

Evaluate each function at the given values of the independent variable and simplify. g(x) = x² - 10x - 3 c. g(-x)

In Exercises 77–92, use the graph to determine a. the function's range; b. 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 c. h (-x)

In Exercises 85–90, find the x-intercepts of the graph of each equation. Then use the x-intercepts to match the equation with its graph. [The graphs are labeled (a) through (f).]

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$y = x^{-2} - x^{-1} - 6$

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. h(x) = x⁴ - x² +1 d. h (3a)

List the quadrant or quadrants satisfying each condition. x³ > 0 and y³ <0

Use the graph to determine a.the x-intercepts, if any; b. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.