- #1
linhthuy256
- 16
- 0
help me to solve this problem
find exponential function f(x)=Ca^x with the 2 given points (0,5)(2,5/9)
find exponential function f(x)=Ca^x with the 2 given points (0,5)(2,5/9)
Last edited by a moderator:
Alright, [itex]f(x)=Ca^x[/itex], f(0)=5, and f(2)=5/9. So you have two equations and two unkowns: a and C. You can write the first equation as:linhthuy256 said:please help me to solve this problem
find exponential function f(x)=Ca^x with the 2 given points (0,5)(2,5/9)
thankzzzzzzzzzz...
linhthuy256 said:yes and the function f(x)=5*1/3^x that's what i had got before but when i put down in the answer and it said "wrong", can u help me ??
linhthuy256 said:beside i still have 1 more problem that is really need help will u able to help me please?
Alright, what's the other problem?linhthuy256 said:beside i still have 1 more problem that is really need help will u able to help me please?
What was the exact phrasing of the problem?linhthuy256 said:yes i did every single posible way but it stills said "wrong" or the answer is not accepted.
No, that's not right, in fact niether function passes through that point. You could graph the two functions in a different window to find the true intersection, but it is clear by inspection that x=5 will yield 5^5 in both cases. As for the second case, just graph 400x^5 instead of x^5 and see where this intersects g(x).linhthuy256 said:and the other problem is
compare the functions f(x)=x^5 and g(x)=5^x by graphing both f and g in several viewing rectangles.
a) find the x-coordinates of the point intersectionof the two curves accurate to two decimal places. and i did the graphing w/ a result of (1.70,1.70) is that rite?
and part b) find the value of x greater than 5 for which g(x)=400 f(x)
LeonhardEuler said:Look between x=10 and x=12. y will be between 10^6 and 10^8.
LeonhardEuler said:Yes. Go to the "range" window. Put xmin as 10, xmax as 12, ymin as 10^6, and ymax as 10^8. Then just use the intersection feature. Alternitivley, just keep guessing values for x. g(x) starts out smaller than f(x) and then gets bigger. So, if you put in a certain x value and g(x) is smaller than 400x^5, try a bigger x. If g(x) is to big, try a smaller x.
An exponential function is a mathematical function in which the independent variable appears in the exponent. It is represented by the general form f(x) = ab^x, where a and b are constants and x is the independent variable.
To find the value of a in an exponential function f(x) = ab^x, you can use the given function to calculate the value of f(x) at two different values of x. Then, you can set up a system of equations to solve for a.
The constant b in an exponential function is known as the base. It determines the rate at which the function grows or decays. A base greater than 1 will result in a function that grows, while a base between 0 and 1 will result in a function that decays.
To graph an exponential function f(x) = ab^x, you can choose a set of x-values and calculate the corresponding y-values using the given function. Then, plot the points on a coordinate plane and connect them with a smooth curve.
The domain of an exponential function is all real numbers, while the range depends on the base of the function. If the base is greater than 1, the range is y > 0, and if the base is between 0 and 1, the range is y > 0. Additionally, the function will have an asymptote at y = 0.