Answer: 2x3 + 17x2 + 25x - 50
Step-by-step explanation: Just try to distribute it at every step as follows:
Step 1: Start with the following:
(a + b + c)(d + e)
Step 2: Distribute (d + e) to each of the term in the first parenthesis
a(d + e) + b(d + e) + c(d + e)
Step 3: Distribute d and e to each term:
(ad + ae) + (bd + be) + (cd + ce)
or ad + ae + bd + be + cd + ce without the parentheses.
Step 4: Finally, simplify.
Using the above you should be able to do the following
Step 1: (2x2 + 7x - 10)(x + 5)
Step 2: 2x2(x + 5) + 7x(x + 5) - 10(x + 5)
Step 3: 2x3 + 10x2 + 7x2 + 35x - 10x - 50
Step 4: 2x3 + 17x2 + 25x - 50
In general, the domain is the set of all x-values for the graph.
The issue here is that this isn't the graph of a function. A function has at most one y-value for each x-value and this graph has an infinite number of y-values for the single x-value of 1.
So, either your teacher is wanting you to say the domain is {1}, because that's the only x-value used by the graph, or they're wanting you to say this is a trick question, because this isn't the graph of a function.
The range is the set of all y-values, which is -9<y<9, but again, do they intend this to be a trick question?
Answer:
35mph...........................................................
