(1 point) The figures below show the graphs of the exponential functions f(x) and g(x), and...
The figures below show the graphs of the exponential functions and , and the linear function, . The function has y-intercept 0.75 and goes through the point (1,3). The function has y-intercept 2 and goes through the point (2,2/9). The function has y-intercept 5 and goes through the point (a,a+5). (a) Find a formula for (b) Find a formula for (c) Find a formula for (d) Find the exact value(s) of such that If there is more than one solution,...
(1 point) Find a possible formula for an exponential function g(x): 2 3 4 5 g(x)11.56 19.652 33.4084 56.7943| f(x) (1 point) Find a possible formula for an exponential function g(x): 2 3 4 5 g(x)11.56 19.652 33.4084 56.7943| f(x)
1. The graphs of f and g are given below. Use the graphs to answer the following questions. y=80) y = f(x) 1 की Graph of y = f(x) Graph of y = g(x) a) f(-1)+(-1) b) f(0) + 9(0) c) f(2) + 9(2) d) limg-2-(3) + g(x)) e) lim-1-((x) - 9(x)) f) lim +1+(f() - 9(x)) g) lime-1(f(x) - 9(x)) h) lim2+2x29(2) i) Find the point(s) of discontinuities of f(x). Explain why the function is discontinuous at those points....
Find the exponential function f(x) = 6* that passes through the point ( – 2, 4) and has a y-intercept of 1. Oy= - (2) Oy = (2) Oy Oy= TIP Select the best answer
-100x 1. Given the function f(x)=- (1-0.5x) (a) Find the y-intercept point (if there is any): (b) Find the x-intercept point(s) (if there is any): (c) Find f'(x): (d) Find critical number(s) of f(x) (Type 1 and Type 2, if there are any): (e) Find the critical point(s) (if there are any): (f) Find the open x-intervals where f(x) increases and decreases: (g) Find the behavior of the function for very large positive x-values (find limit as x goes to...
Question Below are the graphs of f(x)= x²-3x²+1 and x² + y² = 2x²y2 a) Find the equation of the tangent line to the function (on left) at point (-1, f(-1)). 6) Calculate the slope of the tangent line to the function (on right) at point (1,1). 1- . 0,5 1 1.5 1 ST -1,8-1,694 -12 -1 -6.8-06-11-02 BIG 1 112 1,6 10
5 Consider the functions f and g whose graphs are given below. z y = f(x) -4 A3 -2 -1 1 2 3 4 y = 9(2) -4 -3 -2 -1 1 2 3 4 1 + f. Find (3) a. Find f'(-3). b. Find f'(1). g. Suppose p(x) = f(x)g(2). Find p'(-3). c. Find f'(3). h. Suppose q(z) = 5(). Find g(3). d. Find t'(-3). g(2) e. Find g'(1). i. Suppose r(x) = x2 f(x). Find r'(1).
(1 point) Find a formula for the exponential function that satisfies h(3) = 16 and h(6) = 8.192 h(x) = help (formulas)
problem 6 (1 point) Finding Equations of Exponential Functions For each of the following, find the formula for an exponential function that passes through the two points given a. (0, 2) and (4, 1250) f(t) = b. (0,12500) and (4, 20) g(x) =
please help!! If the graphs of two differentiable functions f(x) and g(x) start at the same point in the plane and the functions have the same rate of change at every point, do the graphs have to be identical? Give reasons for your answer A corollary of the Mean Value Theorem states that if f7x): g7x) at each point x in an open interval (a,b), then there exists a constant C such that f(x)= g(x)-C for all Xe(a,b). That is,...