Graph the function f(x)=x+4/x
Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes
Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [1,8]
c=
Notice that if you graph the tangent line to the point (c,f(c)) it is parallel to the secant line.
 👍
 👎
 👁
 ℹ️
 🚩
1 answer

so, did you do that, and notice the parallel lines? That means that for some c between 1 and 8,
f'(x) = (8.55)/(81)
So, you need to find c where
4/c^2 = 1/2
Eh? Not possible. Looks like (8,8.5) is not on the curve. Better fix you point and redo the steps. 👍
 👎
 ℹ️
 🚩
answered by Steve
Answer this Question
Related Questions

math
If two quantities vary directly, which must be true of a graph showing the relationship between them? Select all that apply. A. The graph is a curve. B. The points on the graph are connected. C. The graph increases from left to right. D. The points of the
 asked by flame
 4,574 views

Math(check)
1)Find the range of the relation [(1,4)},(2,5),(3,5)}.Then determine whether the relation is a funtion. 4,5,5 is the range 4,5 is a function 2)Find f(1),if f(x)= x^26x/x+2 (1)^26(1)/1+2 1+6/1+2 7/1 =7 3)Find f(a),if f(t)= 2t^2t2. 2(a)^2a2
 asked by erin
 4,016 views

Math (Calculus) (mean value theorem emergency)
Consider the graph of the function f(x)=x^2x12 a) Find the equation of the secant line joining the points (2,6) and (4,0). I got the equation of the secant line to be y=x4 b) Use the Mean Value Theorem to determine a point c in the interval (2,4)
 asked by Ray
 3,227 views

algebra
Identify the transformations of the graph of ƒ (x) = x 3 that produce the graph of the given function g (x). Then graph g (x) on the same coordinate plane as the graph of ƒ (x) by applying the transformations to the reference points (1, 1), (0, 0) ,
 asked by ariana
 1,126 views

Calculus AB
Let f be the function that is given by f(x)=(ax+b)/(x^2  c). It has the following properties: 1) The graph of f is symmetrical with respect to the yaxis 2) The graph of f has a vertical asymptote at x=2 3) The graph of f passes through the point (1,3)
 asked by Michael
 4,164 views

calculus
Determine the points in the interval (0, 2π) at which the graph of the function below has a horizontal tangent line. f(x) = 10 cos x + 5 sin 2x There should be three
 asked by Sarah
 2,744 views

Math
Mulitple Choice Find the slope. A coordinate graph shows a line through 2 points. One point has coordinates negative 3 comma 3. The other point has coordinates 1 comma negative 5. A. 2** B. –onehalf C. –2 D. onehalf Use the graph below to answer the
 asked by Kadance
 13,255 views

Math (Secant Lines)
Consider the function f(x)=sqrt(x) and the point P(4,2) on the graph of f? Consider the graph f with secant lines passing through p(4,2) and Q(x,f(x)) for xvalues 1, 3, and 5. Find the slope of each secant line Use the results to estimate the slope of
 asked by Ray
 3,571 views

Gr.11  Rational functions graphing.
1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the xaxis and has a single vertical asymptote. Graph the function. 3. Identify a
 asked by Mae
 2,175 views

Edtech
Which type of graph best shows a comparison of a part to a whole 1) Bar Graph 2)Line Graph 3)Pie, or Circle, Graph 4)Column Graph
 asked by hello people
 11,542 views

Science
Which of the following statements about line graphs is true. A. The dependent variable is on the horizontal axis. B. Line graphs are always straight lines. C. Every data point should be shown on a line graph. D. There is a maximum number of data points
 asked by Ezzie
 4,552 views

calculus
To get a better look at the graph, you can click on it. Find a function of the form f(x)=A sin(B[x−C])+D whose graph is the sine wave shown above. The curve goes through the points (−5,0) and (1,0). If needed, you can enter π=3.1416... as 'pi' in your
 asked by Beheshta Ismat
 2,077 views

calculus
1. Let y = f(x) be the continuous function that satisfies the equation x^45x^2y^2+4y^4=0 and whose graph contains the points (2, 1) and (2, 2). Let l be the line tangent to the graph of f at x = 2. a. Find an expression for y’ b. Write an equation for
 asked by Fareha
 576 views

mathematics
The graph represents function 1, and the equation represents function 2: Function 1 A coordinate plane graph is shown. A horizontal line is graphed passing through the yaxis at y = 4. Function 2 y = 8x + 12 How much more is the rate of change of function
 asked by Reginald Freeneyii
 511 views

algebra
Consider the scatter plot shown. Which shows the line of best fit? Explain your reasoning. A scatter plot is shown in the xyplane. The values on the xaxis range from 0 to 9 in increments of 1 and the values on the yaxis range from 0 to 9 in increments
 asked by who dat
 2,607 views

Algebra
Find the equation of the line, in slopeintercept form, that satisfies the given conditions. The graph is perpendicular to the graph of y = 5x − 9 and passes through the point whose coordinates are (3, −1).
 asked by Kim
 1,165 views

maths
1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^21) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3 isin 2pie/3)^4]/ (cos pie/6  isin
 asked by muselitata
 980 views

calculus
On the graph of f(x)=6sin(8πx), points P and Q are at consecutive lowest and highest points with P occuring before Q. Find the slope of the line which passes through P and Q.
 asked by Brittany
 4,087 views

Algebra
Please Check My Anwsers What is the slope of the line in the graph show below? /content/media/390571112201142500PM1076804072.png A) 2 B) 1 C) 1 (My Choice) D) 2 Find the slope of a line that passes through (–2, –3) and (1, 1) A) 1/3 B) 1 C) 2 (My
 asked by Anoamis =D
 3,992 views

Algebra
A graph has the domain 1≤x
 asked by Bug
 1,118 views
Still need help?
You can ask a new question or browse existing questions.