Question

Which expression is equivalent to (f g) (5)?The graphs of f(x) and g(x) are shown below.

On a coordinate plane, a straight line with negative a slope represents f (x) = negative x. The line goes through points (0, 0), (negative 6, 6) and (6, negative 6). On a coordinate plane, a straight line with a positive slope represents g (x) = 2 x. The line goes through points (negative 3, negative 6), (0, 0) and (3, 6).

Which of the following is the graph of (g – f)(x)?
On a coordinate plane, a straight line with a negative slope goes through points (negative 2, 6), (0, 0), and (2, negative 6)
On a coordinate plane, a straight line with a negative slope goes through points (negative 6, 6), (0, 0), and (6, negative 6).
On a coordinate plane, a straight line with a positive slope goes through points (negative 2, negative 6), (0, 0), and (2, 6).
On a coordinate plane, a straight line with a positive slope goes through points (negative 6, negative 6), (0, 0), and (6, 6).

Answer 1

Answer: what does the 5 stand for in the first sentence? Is this a quiz question? Where are the ‘images below’?

Explanation:

You are taking two straight lines and subtracting the value of one from the other at each point along the graph and then coming up with a new graph. Both go through (0,0) the origin as does the final graph after you’re done subtracting. The first graph starts upper left and goes down ‘the stairs’ through zero to the lower right quadrant. It’s of medium Grade slope. Meaning it’s not steep or shallow. The m=1 . “The slope is equal to One.” Ie; every step to the right (forward) goes down exactly one step.

The other g graph is also a function of x except the call it g to avoid confusion. It’s handled the same. (I am assuming you are able to see these graphs in your homework, but couldn’t figure out a way to copy them here). Anyway, the g(x)= blah blah blah is also a straight line (linear progression ) graph. But it goes up the stairs. Starting on the lower left it goes up twice as steep to the right. It also goes through the origin (0,0) As I already said, and then continues In to the upper right quadrant. The whole line is twice as steep as the first line and goes up not down. The result after you subtract one from the other. (Order counts) is that you will have A upward trending graph that is not as Steep as the g Graph.