Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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Write an equation for the function shown. You may assume all intercepts and asymptotes are on
integers. The blue dashed lines are the asymptotes.
10
9-
8-
7
6
5
4-
3-
2
4 5
15-14-13-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 1
1 2 3
-1
-2
-3
-4
1
-5
-6-
-7
-8-
-9
-10+
60
7 8
9 10 11 12 13 14 15
Use the graph of the polynomial function of degree 5 to identify zeros and multiplicity. Order your
zeros from least to greatest.
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3
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5
4
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2
1
2
-1
-2
-3
-4
-5
3
4
6
Zero at
with multiplicity
Zero at
with multiplicity
Zero at
with multiplicity
Use the graph to identify zeros and multiplicity. Order your zeros from least to greatest.
6
5
4
-6-5-4-3-2
3
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Zero at
with multiplicity
Zero at
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Zero at
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Zero at
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- Use the graph to write the formula for a polynomial function of least degree. -5 + 4 3 ♡ 2 12 1 f(x) -1 -1 f(x) 2 3. + -3 12 -5+ + xarrow_forwardUse the graph to identify zeros and multiplicity. Order your zeros from least to greatest. 6 -6-5-4-3-2-1 -1 -2 3 -4 4 5 6 a Zero at with multiplicity Zero at with multiplicity Zero at with multiplicity Zero at with multiplicityarrow_forwardUse the graph to write the formula for a polynomial function of least degree. 5 4 3 -5 -x 1 f(x) -5 -4 -1 1 2 3 4 -1 -2 -3 -4 -5 f(x) =arrow_forward
- Write the equation for the graphed function. -8 ง -6-5 + 5 4 3 2 1 -3 -2 -1 -1 -2 4 5 6 6 -8- f(x) 7 8arrow_forwardWrite the equation for the graphed function. 8+ 7 -8 ง A -6-5 + 6 5 4 3 -2 -1 2 1 -1 3 2 3 + -2 -3 -4 -5 16 -7 -8+ f(x) = ST 0 7 8arrow_forwardThe following is the graph of the function f. 48- 44 40 36 32 28 24 20 16 12 8 4 -4 -3 -1 -4 -8 -12 -16 -20 -24 -28 -32 -36 -40 -44 -48+ Estimate the intervals where f is increasing or decreasing. Increasing: Decreasing: Estimate the point at which the graph of ƒ has a local maximum or a local minimum. Local maximum: Local minimum:arrow_forward
- For the following exercise, find the domain and range of the function below using interval notation. 10+ 9 8 7 6 5 4 3 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 34 5 6 7 8 9 10 -1 -2 Domain: Range: -4 -5 -6 -7- 67% 9 -8 -9 -10-arrow_forward1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)arrow_forwardSafari File Edit View History Bookmarks Window Help Ο Ω OV O mA 0 mW ర Fri Apr 4 1 222 tv A F9 F10 DII 4 F6 F7 F8 7 29 8 00 W E R T Y U S D பட 9 O G H J K E F11 + 11 F12 O P } [arrow_forward
- So confused. Step by step instructions pleasearrow_forwardIn simplest terms, Sketch the graph of the parabola. Then, determine its equation. opens downward, vertex is (- 4, 7), passes through point (0, - 39)arrow_forwardIn simplest way, For each quadratic relation, find the zeros and the maximum or minimum. a) y = x 2 + 16 x + 39 b) y = 5 x2 - 50 x - 120arrow_forward
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