3. Functions

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

Use a graphing calculator to graph each equation in the standard viewing window. 3x + 4y = 6

Graph each equation. 2x +5y = 20

Graph each equation. 3y = x

Graph each equation. ƒ(x) = x

Use a graphing calculator to graph each equation in the standard viewing window. -2x + 5y = 10

Graph each equation. x - 4y = 8

Graph each equation. x = -5

Graph each equation. ƒ(x) = 3

Graph each function. ƒ(x) = -|x|

Graph each function. ƒ(x) = |x| -3

Graph each function. ƒ(x) = 2∛(x+1)-2

Graph each function. ƒ(x) = {|x| if x < 3 , 6-x if x ≥ 3}

Determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. y^3 = x + 4

Determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. |x| = |y|