The graph of the function f(x) = e- – 5 can be obtained from the graph of g(x) = e² by one of the following actions: (a) reflecting the graph of g(x) about the r-axis; (b) reflecting the graph of g(æ) about y-axis; your answer is (input a or b) then, by one of the following actions: (a) shifting the resulting graph to the right 5 units; (b) shifting the resulting graph to the left 5 units; (C) shifting the resulting graph upward 5 units; (d) shifting the resulting graph downward 5 units; Your answer I (Input a, b, c, or d) The domain of the function f(x) Is The range of the function f(x) is

The graph of the function f(x) = e- – 5 can be obtained from the graph of g(x) = e² by one of the following actions: (a) reflecting the graph of g(x) about the r-axis; (b) reflecting the graph of g(æ) about y-axis; your answer is (input a or b) then, by one of the following actions: (a) shifting the resulting graph to the right 5 units; (b) shifting the resulting graph to the left 5 units; (C) shifting the resulting graph upward 5 units; (d) shifting the resulting graph downward 5 units; Your answer I (Input a, b, c, or d) The domain of the function f(x) Is The range of the function f(x) is

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...

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(a) To obtain the graph of g(x)=2x1 , we start with the graph of f(x)=2x and shift it _____________ (upward/ downward) 1 unit. (b) To obtain the graph of h(x)=2x1 , we start with the graph of f(x)=2xand shift it to the (left/right) 1unit.
a To obtain the graph of g(x)=2x1, we start with the graph of f(x)=2x and shift it ________ upward/downward 1 unit. b To obtain the graph of h(x)=2x1, we start with the graph of f(x)=2x and shift it to the ___________ left/right 1 unit.
Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
How do the graphs of the functions f(x)=x2 and f(x)=x21 differ? We graphed them at the start of this section. What is the difference between their graphs? How are their graphs the same?
Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
When examining the formula of a function that is the result of multiple transformations, how can you tell a reflection with respect to the x-axis from a reflection with respect to the y-axis?