2. Graphs of Equations

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).]

a)b)c)d)e)f)

$y = \(\sqrt{x - 4}\) + \(\sqrt{x + 4}\) - 4$

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.

Simplify: $2(x+h{)}^2+3(x+h)+5-(2x^2+3x+5)$.

Determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of those, or none of these. x^2 + y^2 =17

Let f(x) = x² − x + 4 and g(x) = 3x – 5. Find g (1) and f(g(1)).

Evaluate each function at the given values of the independent variable and simplify. g(x) = x² - 10x - 3 a. g(-1)

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.

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

y = x² - 2

In Exercises 6–8, use the graph and determine the x-intercepts if any, and the y-intercepts if any. For each graph, tick marks along the axes represent one unit each.

Use the graph of g to solve Exercises 71–76.

For what value of x is g(x) = -1?

Determine whether each graph is the graph of an even function, an odd function, or a function that is neither even nor odd.

Use the graph of g to solve Exercises 71–76.

Find g(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.

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify.f(x)=4x+5 b. f(x + 1)

Determine whether each equation defines y as a function of x. |x|- y = 5