For what value of x does 4 Superscript x Baseline = (one-eighth) Superscript x + 5?
2 answers:
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Answer:
First page
a: 0.864
b: x = 7, -8.75
Second page:
Domain: (3, ∞)
Range: (-∞, ∞)
Asymptote: x = 3
Third page: About 464 visitors
Step-by-step explanation:
See first attached photo for page 1 work
Second page: A log argument must be positive (the number in the log x place), so and number for x greater than 3 will satisfy this requirement.
x - 3 > 0, so x > 3
The range of a log x fucntion is (-∞, ∞),
Since x ≠ 3, there is a vertical asymptote at x = 3, the graph will not cross the line x = 3
*See second attached photo for the graph
Third page: Take the visitors of one year, and divide it by the visitors of the previous year to determine the % growth.
EX: from 2003 to 2004 the number of visitors grew from 310 to 322, a % change of
322/310 = 1.07, or 7%
Do this will all the years and you will see that each year there was about a 7% growth.
So in year 2009, there will be 434(1.07) = 464.38 visitors, or about 464 visitors
Part (a)
<h3>Answer: -2</h3>-----------
Explanation:
Draw a vertical line through -2 on the x axis. This vertical line will cross the blue parabola at some point P. From point P, draw a horizontal line to the y axis. You should arrive at y = -2. Figure 1, in the attached diagram below, shows this process.
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Part (b)
<h3>Answers: x = -3 or x = 1</h3>-----------
Explanation:
Draw a horizontal line through y = 1 on the y axis. This is because y = f(x).
This horizontal line crosses the parabola at two places. Drop a vertical line straight down to the x axis to note the x values that make f(x) = 1 true.
You should find the solutions to be x = -3 and x = 1
See figure 2.
