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

Fill in the blank to correctly complete each sentence. The x-intercept of the graph of 2x + 5y = 10 is ________.

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

Determine whether each relation defines a function. {(-3,1),(4,1),(-2,7)}

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).

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

Graph each piecewise-defined function.

Determine whether each relation defines a function, and give the domain and range.

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)