2. Graphs of Equations

Graph the equation $y-x^2+3=0$ by choosing points that satisfy the equation.

Graph the equation $y=\sqrt{x}+1$ by choosing points that satisfy the equation. (Hint: Choose positive numbers only)

Plot the given point in a rectangular coordinate system. (1, 4)

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

Plot the given point in a rectangular coordinate system. (7/2, - 3/2)

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

y = x - 2

For each piecewise-defined function, find (a) ƒ(-5), (b) ƒ(-1), (c) ƒ(0), and (d) ƒ(3).See Example 2. ƒ(x)={2+x if x<-4, -x if -4≤x≤2, 3x if x>2

For each graph, determine whether y is a function of x. Give the domain and range of each relation.

Graph each piecewise-defined function. See Example 2. ƒ(x)={6-x if x≤3, 3 if x>3

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

y = |x| + 1

Determine whether each equation defines y as a function of x. y = 6 -x²

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