Match the formula of the exponential function to its graph.Graphs of Exponential Functions543-5 -4 -3 -2 -11N W-T-2-3-4-554321-5 -4 -3 -2 -1-1-2-3-4-5543-5 -4 -3 -2 -12-5 -4 -3 -2 -121-1-2-3-4-5-54327-1-2-3-41 21 2 31 24 54 5542 3 45Formulas for the Graphsa. f(x)=- (3x)b. f(x) =(²) ²c. f(x) =d. f(x)= = 3x=|x

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Answered: Match the formula of the exponential…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.2: Graphs Of Exponential Functions

Problem 1SE: What role does the horizontal asymptote of anexponential function play in telling us about the...

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y-()" A B y= -2(3)* (c y= -3-2* D y=3*
Match the formula of the exponential function to its graph. Graphs of Exponential Functions 5+ 4 3 2 1 -5 -4 -3 -2 -1 -L -2 -3 -4 -5 5+ 4 3 2 -5 -4 -3 -2 -1 -5 -4 -3 -2 -1 -2 -3 -4 -5 + 5+ 4 3 2 1 A -2 -3 -4 -5- -5 -4 -3 -2 -1 5+ 4 3 2 1 -1 -2 -3 -5- 2 2 1 2 4 5 3 4 5 3 a 4 5 4 5 Formulas for the Graphs X a. f(x) = = (1/)* b. f(x) = = c. f(x) = 2x d. f(x) = – (2ª) X
Match the formula of the exponential function to its graph. Graphs of Exponential Functions 5 4 3 2 1 -5 -4 -3 -2 -1 3 -5 -4 -3 -2 -1 -2 -3 -4 -5 + 5+ 4 3 2 1 -1 -1 -2- -3 --4- -5+ 5 4 3 2- -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 + 5+ 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4- -5- I 2 1 2 1 2 3 4 3 4 5 3 4 5 d 5 Formulas for the Graphs a. f(x) = (3) b. f(x) (²¹²) ² c. f(x) = 3ª d. f(x) = = X
Find the asymptote of the given exponential function y = 2*-3 + 8 1 2 -3 8
If an exponential function has a base of 3, a vertical compression by a factor of ¼, a reflection in the x-axis, a horizontal stretch by a factor of 7, and a vertical shift of 2 units up, what would its equation look like? a) y = -(3)** + 2 b) y = 7(3)7* – 2 c) y = -4(3)7x – 2 d) y = -(3)* + 2
Write the equation of the graphed exponential function in the form f (x) = a(b)* 20 18 16 14 12 |10 -6 -4 -2 2 4 6
Find the exponential function for a graph that goes througn the points (0,-4) and (-1,0) and (-3,3)
Write an exponential function for each set of points. (0,1024), (1,256), (2,64), (3,16) and (4,4) a b C d f(x) -(1024)* (x) = 1024 (1) f(x) = 1024(4)*+¹ f(x) = 4(1024)*+1
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A bank features a savings account that has an annual percentage rate of r = 4% with interest compounded quarterly. Amy deposits $2,000 into the account. The account balance can be modeled by the exponential formula A = P(1+ -) nt where A will be the amount in the bank after a certain number of years, P is the original amount put in the bank, r is the annual percentage rate written as a decimal, n is the number of times each year that the interest is compounded, and t is the time in years. (A) What values should be used for P, r, and n? P = n = (B) How much money will Amy have in the account in 10 years? Answer = $ Round answer to the nearest penny.
What are the domain and range of this exponential function? y = 10* – 8 A domain: {x | x 8} domain: all real numbers, range: {y | y 2 -8} domain: all real numbers, range: {y | y > -8} ( , D domain: {x | x > -8}, range: {y | y > -8}
A bank features a savings account that has an annual percentage rate of r = 3.2% with interest compounded quarterly. Kerel deposits $6,500 into the account. kt The account balance can be modeled by the exponential formula A(t) = a (1 + • a (1 + 7) *, account value after t years, a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? a = T= k = (B) How much money will Kerel have in the account in 7 years? Answer = $ Round answer to the nearest penny. = where A is (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY %. Round answer to 3 decimal places.

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