calculus

posted by .

Suppose that f (x) is a function such that the relationship given below is true.
f (3 + h) - f (3) = 9h^2 + 8h



What is the slope of the secant line through (3, f (3)) and (7, f (7))?

I am stuck on this one , tried every thing in the world. i don't know how to do it since there is no f(x) given.. so please be descriptive if you help. This is due tomorrow that's why i am posting it again, don't mean to spam.

  • calculus -

    please show your work. maybe myself or the other tutors could figure out what you did wrong.

  • calculus -

    ok. this question also had a part a) which was

    (a) What is f '(3)?
    so i just divided
    (9h^2+8h)/h

    (h(9h+8))/h and plugged in 0 since lim->0

    got 8 as my answer.

    now for B)

    i tried plugging 3 into (h) in func 9h^2+8h/h

    did same with 7 and got wrong answer. i tried many different ways but kept getting wrong answer.

    what i am confused is with how to find values for f(7) and f(3) since there is no function given to begin with...

  • calculus -

    There is no limitation on the value/size of h, so h can be any number.

    f (3 + h) - f (3) = 9h^2 + 8h
    so
    f(3+h) = 9h^2 + 8h - f (3)
    Try setting h=4 to see what you get.

  • calculus -corr -

    Sorry, the equation should read:
    f(3+h) = 9h^2 + 8h + f (3)

  • calculus -corr² -

    In fact, the solution is simpler than that.
    Remember TutorCat said:
    for the secant:
    [f(7)-f(3)]/(7-3)
    you can work out
    [f(7)-f(3)]
    from
    f (3 + h) - f (3) = 9h^2 + 8h
    by putting h=?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus Assignment

    Hey there. Okay well I just started first year university and we got an assignment to sorta brush up our rememberance of everything and well...I'm not remebering to well. If anyone can help me with this question that would be great. …
  2. Calculus

    Suppose that f (x) is a function such that the relationship given below is true. f (3 + h) - f (3) = 9h^2 + 8h (a) What is f '(3)?
  3. Calculus

    Suppose that f (x) is a function such that the relationship given below is true. f (3 + h) - f (3) = 9h^2 + 8h (a) What is f '(3)?
  4. calculus

    Find the slope of the line secant to the following function passing through the given x-values: f(x) = x3 + 5x; x = 3 and x = 6
  5. Math

    1. The slope of the tangent line to a function at a point is equivalent to __. a. the slope of the secant at that point b. the slope of the cosecant at that point c. the rate of change of the function at that point d. the slope of …
  6. Calculus

    Find all values for c in the intercal (1,4) so that the slope of the tangent line at (c,f(c)) equals the slope of the secant line through (1,1/3) and (4,2/3) where f(x) = x/(x+2) 1 </ x </ 4 (<-- that is suppose to be the …
  7. Calc 1

    Consider the position function s(t)=sin((pi)(t)) representing the position of an object moving along a line on the end of a spring. Sketch a graph of s with the secant line passing through (0,s(0)) and (0.5,s(0.5)). Determine the slope …
  8. Math

    Consider the graph of the parabola ​f(x)equals=x squaredx2. For xgreater than>0 and hgreater than>​0, the secant line through​ (x,f(x)) and ​(xplus+​h,f(x+h)) always has a greater slope than the …
  9. Math (Secant Lines)

    Consider the function f(x)=sqrt(x) and the point P(4,2) on the graph of f?
  10. Math (Calculus) (mean value theorem emergency)

    Consider the graph of the function f(x)=x^2-x-12 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=x-4 b) Use the Mean Value Theorem to determine a point c in …

More Similar Questions