Reference no: EM131402244
Problem 1:
Express the following sets of numbers using interval notation:
{x|x ≤ -2 or x ≥ 0}
Problem 2:
Find the midpoint of the line segment connecting P(-2; 5) and Q(4; -3)
Problem 3:
Determined whether or not (-1, 0) is on the graph x2 + y3 = 1.
Problem 4:
Find the x- and y- intercepts (if any) of the graph of (x - 2)2 + y2 = 25.
Problem 5:
Use the Vertical Line Test to determine if the following relation describes y as a function of x.
Problem 6:
What are the domain and range of the following function:
f(x) = √(x3 - 8)
Problem 7:
What are the domain and range of the following function:
f(x) = √(7 - x)
Problem 8:
The area A enclosed by a square, in square inches, is a function of the length of one of its sides x, when measured in inches. This relation is expressed by the formula A(x) = x2 for x > 0. Find A(2) and solve A(x) = 49. Interpret your answers to each. Why is x restricted to x > 0?
Problem 9:
Let f(x) = 6x2 - x and g(x) = 4 -1/x. Find (f + g)(-1)
Problem 10:
Find and simplify the difference quotient for the following function:
f(x) = x2 - 2x + 3
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