Example 1: How does the value of k affect the graph of f(x) = 2x+ k? Compare the graphs ofg(x) = 2 +3 and j(x)= 2x - 3 to the graph of f(x) = 2x.%3DIdentify the asymptotes of each exponential function.Asymptote of f(x) 2->y 2Asymptote of g(x)= 2+3->-2Asymptote of j(x)= 2-3->-2What doyounotice?Name:Period:Try It Problem #1: How does the value of k affect the graph of f(x) 2 + k Compare the8.6.4.

To check the effect of fx=2x+k we will compare the graph of 2x+3,2x-3,2x In this graph red line…

Answered: Example 1: How does the value of k…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9DE

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Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?
The natural logarithmic function f(x)= In (x1) has the ____________ asymptote x =____.
Find the exponential function f(x)=axf(x)=ax whose graph goes through the point (2,1/4)
The graph of an exponential function of the form f(x) = abx passes through (1, 2) and (2, 1). Find f(−2). f(−2) =
Find the exponential function f(x) = ax whose point is given on the graph: (-1, 1/6)
Suppose the graph of g (x) is given. Write an equation for each of the graphs that, are obtained from the graph of g (x) as follows: -Shift 8 units upward -Stretch vertically by a factor of 8 Write your own example of each type of functions: -Exponential function -Polynomial function of degree 8 + 2
The graph of y = 7(10)x − 3 is shown. What are the x-intercept (rounded to the nearest tenth) and the horizontal asymptote, and do they represent exponential growth or decay? The x-intercept is (0, −0.4), the horizontal asymptote is y = 4, and the graph represents exponential growth. The x-intercept is (0, 4), the horizontal asymptote is x = 1, and the graph represents exponential decay. The x-intercept is (−0.4, 0), the horizontal asymptote is y = −3, and the graph represents exponential growth. The x-intercept is (4, 0), the horizontal asymptote is y = −3, and the graph represents exponential decay.
Give five examples of exponential functions in the form f(x)=bx and f(x)= a*bP(x)+h with its domain and range.
Find an exponential function with horizontal asymptote y=-3 whose graph contains t he points (0,-2) and( 2,1) .
A water tank has been sanitized by pouring in chlorine bleach. Bleach is toxic at the level needed to sanitize, so you need to flush out the tank using clean water. The result is that, after each hour of flushing, there is a 19% reduction in the bleach concentration. Assume that when you began flushing, the bleach concentration is 150 mg per gallon. a) Determine whether a linear function or exponential function can be used to model the bleach concentration. Explain your decision. b) Give a formula for the concentration as a function of time. You need to choose your variable names and specify what each represents. c) You can safely use the water tank for drinking purposes when the bleach concentration is below 0.7 mg per gallon. How long do you need to flush the tank to reach this concentration?
2log(x)-log2(x-3)=2
The graph of y = 7(10)x − 3 is shown. What are the x-intercept (rounded to the nearest tenth) and the horizontal asymptote, and do they represent exponential growth or decay? (7 points) The x-intercept is (0, −0.4), the horizontal asymptote is y = 4, and the graph represents exponential growth. The x-intercept is (0, 4), the horizontal asymptote is x = 1, and the graph represents exponential decay. The x-intercept is (−0.4, 0), the horizontal asymptote is y = −3, and the graph represents exponential growth. The x-intercept is (4, 0), the horizontal asymptote is y = −3, and the graph represents exponential decay.

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