Question

Question:

1. Can the equation x = 5 be written as slope intercept form? Explain the reason(s).

2. What’s the relationship between two perpendicular lines in terms of slopes? Do you think this relationship is true for the perpendicular lines x = 0 and y =0? Why or why not?

3. How do you determine, from a graph of a function, if the function is even, odd or neither?

4. Suppose that a function f whose graph contains no breaks or gaps on (0, 10) is decreasing on (0,3), increasing on (3,10), and defined at 3. Does the function value f(3) represent maximum or minimum value of f?

5. "A function can have more than one y values corresponding to the same x value." True or False?

EXPLAIN EACH QUESTION IN SENTENCE FORMAT AND NUMBER FORMAT

Answer 1

1. No. Because slope of such a line is infinity and there is no y intercept.
2. Product of slopes of two perpendicular lines is -1, whenever both slope are finite. In the case of x=0, y=0 the slope of x=0 is infinity hence no such slope condition is there.
3. If reflecting the graph on the right of y axis makes the graph on left of y axis then the function is even. If one can obtain the graph on the left of y axis by first reflecting the graph on the right of y axis about x axis and then reflecting in about y axis then function is odd. If no such thing holds, function is neither even nor odd.
4. The graph of function on both sides of x=3 is above the value of function at x=3. Hence x=3 is the point of minimum value.
5. False. If a function takes x to y1 and y2 then the function is not well defined. Because we do not know THE image of function at x.