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Answer:
The function g(x) is defined as .
Step-by-step explanation:
The given function is
The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.
The transformation of function is defined as
Where, k is vertical stretch, b is horizontal shift and c is vertical shift.
If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.
If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.
The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).
Therefore the function g(x) is defined as .
Answer:
<h3>The function for Bruce’s elevation isStep-by-step explanation:
We are given initial Bruce’s elevation = 1,505 feet.
Each successive hour, his average elevation change for the hike becomes 6 times the previous hourly elevation change.
We know, the exponential function , where a is the initial value, b is the growth factor and x is the exponent represents time in hours.
Therefore, initial value a=1505, growth factor b for exponential function is 6.
Plugging a=1505 and b=6 in , we get
Also note, if b>0, it would be an exponential growth function.
<h3>Therefore, the function for Bruce’s elevation is