MATH110 December 2010
• Q1 (a) • Q1 (b) • Q1 (c) • Q2 (a) • Q2 (b) • Q2 (c) • Q3 (a) • Q3 (b) • Q3 (c) • Q4 (a) • Q4 (b) • Q5 (a) • Q5 (b) • Q5 (c) • Q6 (a) • Q6 (b) • Q6 (c) • Q7 • Q8 (a) • Q8 (b) • Q9 (a) • Q9 (b) • Q9 (c) • Q9 (d) • Q9 (e) • Q9 (f) • Q10 •
Question 09 (c)
Find all x- and y-intercepts of , if they exist.
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What is the y-coordinate of an x-intercept? How about the x-coordinate of a y-intercept? Knowing this, how can you find the other coordinate of each kind of intercept?
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The x-intercepts of are all points of the form , that is, all points where . To find these x-values, we simply set the function and solve for .
So has an x-intercept at .
The y-intercept of is the point of the form , that is, where . To find the y-intercept therefore, we simply plug into the function to find the y-value.
So the y-intercept is .
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