a. Explain why the "vertical line test" can be used to
check if a graph can represent a function.
b. Explain why the following ordered-pairs cannot represent a function.
(0, -1) (-1, 0) (0, 1) (1, -1) (0, -1)
c. Explain why the following ordered-pairs can represent a linear function.
(-2, 0) (0, 5) (2, 10) (4, 15) (6, 20)
d. Record the domain for the function: f(n) = 10 / ((n + 2)(n - 5)(n + 3))
e. Given f(i) = 2(i)^3 + 2(i)^2 + 2(i)^1 + 2(i)^0, f(3) = ______
f. Given f(j) = 8(j) + 3(j) + (j) - 10, j = _____ when f(j) = 10
h. Find the equation of a line that passes through the point (-1, 3)
that is perpendicular to the line y = (1/4)x + 2
Answer the remaining questions using the following ordered-pairs:
(4, 0) (2, 10) (0, 20) (-2, 30) (-4, 40)
g. Record the horizonal-intercept. __________
h. Record the vertical-intercept. __________
i. Record the slope. __________
j. The ordered-pairs represent a (increasing | decreasing) function.