Concept explainers
B. In Problems 27–42, find the absolute extremum, if any, given by the second derivative test for each function.
27. f(x) = x2 – 4x + 4
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)
Additional Math Textbook Solutions
Mathematical Ideas (13th Edition) - Standalone book
Mathematics for Elementary Teachers with Activities (5th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
Finite Mathematics & Its Applications (12th Edition)
Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
A Survey of Mathematics with Applications (10th Edition) - Standalone book
- 1. How many non-real zeros does the function f(x) = x- 2x + 8x 1. 0 2. 2 3. 3 4. 4arrow_forward4. A ball thrown vertically in the air reaches its peak height after 3.5 seconds. If its height, as a function of time, is given by h =-16r + bt +4 , then which of the following is the value of b? x = - b/2a, x = 3.5, find b. (1) 56 (3) –112 (2) –56 (4) 112arrow_forwardCan someone help me with #21?arrow_forward
- 1. Given two functions f(x)=x3+5 and g(x)= 1/x-3, evaluate each of the following. Keep values exact. A. A(4) when A(x) = 2f(x)-3g(sqrt x) B. f(2g(1)) C. g(f(3)) D. D(3) when D(x)= 1/2(f(x))2-3 sqrt g(x+8)arrow_forwardFind a, of the function f(x) = (- 1)". a. 12 b. 6. C. 6.arrow_forwardI need help with #55 and #56, can you explain each question and what they mean? I just don't understand what to do. Thank Youarrow_forward
- 18. Which of the following functions has a graph that opens upward? A. f(x) = (x – 7)² – 3 B. f(x) = 7 – (x + 2)² C. f(x) = - (x + 2)2 + 1 D. f(x) = – (x – 2)² – 10 19. Which of the following functions has a graph that opens downward? A. f(x) = (x + 8)² – 5 B. f(x) = (x + 2)² + 9 C. f (x) = 8+ 3 (x + 2)² D. f (x) = 12 – 3 (x + 2)2 %3D 20. What can you say about a parabola that opens downward? A. It has a minimum value B. It has a maximum value C. both and b 21. How would you describe the parabola f (x) = -x? A. Its vertex is at point (0,0) and it opens upward. B. Its vertex is at point (0,0) and it opens to the left. C. Its vertex is at point (0,0) and it opens downward. D. Its vertex is at point (0,0) and it opens to the right. 22. What do you call the graph of a quadratic function? B. Parabola C. Axis of symmetry A. Vertex Youth Army of Masigasig National High School build 2 squares. The Tom more than that of thearrow_forward2. Consider the function f (x) = x¹ − 2x² + 3. (a) Find the intervals on which f is increasing / decreasing. (b) Find the intervals on which f is concave up/ concave down. Display your answer in table form, with a column for the intervals, columns for each factor, a column for the derivative, and a column for the function, as shown in lecture.arrow_forward1.8 If f(x) = -7x – 6 and g(x) = -8x? – 4x + 3, find g(f(3)). а. 393 b. -177 C. -1857 d. -279arrow_forward
- 1.1 Why is the graph shown below not a function? 1.5 0.5 -0.5 a. The graph touches the x-axis at one point. b. The graph does not start from (0.0). C. The vertical line cuts the graph at two points. The graph has three intercepts. e. None of the thesearrow_forward6. If f(x)=cot(0) +4 is horizontally compressed by a factor of ½ and horizontally shifted left, which of 3 the following could represent g(x), this new function? A. g(x)=cot(20+2)+4 C. g(x)-col(+)-4 B. g(x)=cot+)+4 D. g(x) = cot(+)-4 A B C D E: None of the Above 1arrow_forward27. A rectangular field is to be enclosed with 200 meters of fence. Which of the following models will express the area of the field as a function of one of its sides, say x? a. A(x)=x(100-x) b. A(x)=x(200-x) c. A(x)=x²(100-x) d. A(x)=x(100-x)² e. A(x)=x²(200-x)arrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education