Determine the domain of the function
3x/x(x^2-25)

All real numbers except for 0, -5, and 5

Step-by-step explanation:

You can't have a zero in the denominator, therefore 0, -5, and 5 can't be solutions to the equation.

Interval notation:

(-infinity, -5) u (-5, 0) u (0, 5) u (5, infinity)

Set-Builder Notation:

{x| x≠ 0, 5, -5}

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns