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In your own words, explain what the domain of a relation is and give an example

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Relations are equations that produce graphs eg straight lines, parabolas, sin+cos+tan curves, exponential curves, hyperbolas, circles, ellipses, square root, lol, ln (natural log), cubics and quartics etc.
Some graphs like a circle might go as far as -3 to 3 on the x axis.
Then we say the domain is [-3,3]
It means all values of the equation can only be between and including -3 to 3.
For most of the above common graphs the x values go from -ve infinity to infinity.
If you mad a graph of y=sqrt(x), you would find the domain is [0, infinity) because no -ve x values "work" ie there is no sqrt (-4)
If we were studying what y values the equation could have, we would be studying the "range"
.

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thank uu
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John wants to rent a tent to go camping. The cost to rent a tent from Woodland Outfitters is a flat rate of \$10.00 plus \$0.50 for each night the tent is rented.

Part a. Let x represent the number of nights John keeps the tent and write a cost function, c(x), for the cost to rent a tent from Woodland Outfitters.

Part b. How much will John owe if he uses the tent for five nights
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c(x)=0.5x + 10
.
if x=5
c(5) =0.5x5 + 10 = \$12.50
.
note c(x) is in the very famous line graph form y=mx+c
where m is the gradient of the graph (rise/run)
and c is the y intercept of the graph.
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