¶ … relationship pass the vertical line test, for being a function?
What is its range?
What is its domain?
What are its X-intercepts, if any?
(3,0) (6,0)
What is its Y-intercept, if any?
What is the nature of the relationship (linear, quadratic, etc.)?
nonlinear and nonquadratic
What is the value of f (x) at x=-2? (3)
Does the relationship pass the vertical line test, for being a function?
What is its approximate range?
What is its approximate domain?
What are its X-intercepts, if any?
What are its Y-intercepts, if any?
What is the nature of the relationship (linear, quadratic, etc.)?
Elliptic
What is/are the approximate y-value(s) of the relationship at x=3? (2)
What is its range?
(-6, +?)
What is its domain?
Determine the approximate x-intercepts by inspection; that is, looking at the plot. Verify these results by calculating the x-intercepts (roots of the equation). Show your calculations in detail.
X-intercepts (-3,0) (2,0)
(x+3)(x-2) = 0
X = -3 or 2
18. Determine the approximate y-intercept(s) by inspection. Verify these results by calculating the value of the y-intercept(s). Show your calculations in detail.
(0,-6)
Y = 0 + 0 -- 6
Y=-6 ( Value of y-intercept
The figure below is a partial plot of the equation . It is a function.
19. What is its range?
20. What is its domain?
21. Determine the approximate x-intercepts by inspection; that is, looking at the plot. Verify these results by calculating the x-intercepts (roots of the equation). Show your calculations in detail. (Hint: Find the factors using polynomial division.)
(2,0)(1,0)(-1,0)
(x-2)(x-1)(x+1) = 0
X = 2, 1, or -1
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