3_2_Q2

# 3_2_Q2 - Student’s Name Signature Quiz 2 Section 3.2...

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: Student’s Name Signature Quiz 2: Section 3.2 Reminder of the Tmnsfomation of Power function: “93) = 510? —01)" + 01 1 Graphing Assignment The goal of this assignment is to ShOW you how to sketch f = —2(:I; — 1)5 + 2 without using calculators. Read my instructions from Step 1 to Step .5. At each step, sketch the graph based on the given’table which I have ﬁlled out. 0 Step 0: Write down a] = 1, bl = —2, c1 = 2 and n = 5 of the function f(av) = —2(:1: - 1)5 + 2. ‘X 0 Step 1: Graph f(x) = 9:” depending on whether 71 is ODD or EVEN. A Graph f = x5 (n = 5: ODD power) based on the following table: Table 1: Table of the function y = f (z) = 11:5 n n 0 Step 2: Check for reﬂection about the z-amis. Because bl = —2 < 0, reﬂect the graph of y = f = \$5 Step 1) about the z—axis. The result of this step is the graph 3/ = f (x) = —x5. Graph y = f (x) = —x5 based on the following table: Table 2:‘Table of the function y = f (:13) = —a:5 n Ill a Step 3: Shift graph to left or right. Graph 3/ = f(:c) = sign(b1)(w — a1)" = —(a: — 1)5 based on the following table: Table 3: Table of the function y = f(a:) = —(z — 1)5 n n The graph of y = f(:13) = —(:1: — 1)5 is the result of SHIFTING the graph y = f(:c) = —:cS (in Step 2) to the RIGHT 1 unit. It is due to the fact that 0.1 = 1 > 0. 0 Step 4: Stretch or Compress graph vertically. Graph f(x) = b1(x — a1)" = —2(ac — 1)5 based on the following table: Table 4: Table of the function y = f(:z) = —2(z — 1)5 : an ” a Step 5: Shift graph up 01' down. Graph f(\$) = b1(:c — a1)" + 01 = —2(a: — 1)5 + 2 based on the following tablefz Table 5: Table of the function y = f(;v) = —2(:r: — 1)5 + 2 u an The graph of y = f(z) = —-2(z — 1)5 + 2 is the result of SHIFTING the graph y =. E f(:c) = —2(\$ — 1)5 (in Step 4) UP 2 units. It is due to the fact that c; = 2 > 0. 7 ._ —> These are the steps that you can do to sketch the graph of f(a:) = —2(z — 1)5 + 2 without using a calculator. 2 Important note For large lzl, the graph of ﬂat) = —2(\$ — 1)5 + 2 behaves like the graph of f(:v) = —23:5. Lyl ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online