{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Stitz-Zeager_College_Algebra_e-book

# We have 3 being added to an input indicating a

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: from, the output of a function causes the graph to shift up or down, respectively”. So what happens if we add to or subtract from the input of the function? Keeping with the graph of y = f (x) above, suppose we wanted to graph g (x) = f (x + 2). In other words, we are looking to see what happens when we add 2 to the input of the function.1 Let’s try to generate a table of values of g based on those we know for f . We quickly ﬁnd that we run into some diﬃculties. 1 We have spent a lot of time in this text showing you that f (x + 2) and f (x) + 2 are, in general, wildly diﬀerent algebraic animals. We will see momentarily that the geometry is also dramatically diﬀerent. 86 Relations and Functions x 0 2 4 5 (x, f (x)) f (x) g (x) = f (x + 2) (x, g (x)) (0, 1) 1 f (0 + 2) = f (2) = 3 (0, 3) (2, 3) 3 f (2 + 2) = f (4) = 3 (2, 3) (4, 3) 3 f (4 + 2) = f (6) =? (5, 5) 5 f (5 + 2) = f (7) =? When we substitute x = 4 into the formula g (x) = f (x + 2), we are asked to ﬁnd f (4 + 2) = f (6) which doesn’t exist bec...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online