Which values are with in the range of the piecewise defined function?
2 answers:
Answer:
y = -6; -3; 0
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
f(x) = 2x+2 , x < -3
f(x) = x, x = -3
f(x) = - x -2 , x > -3
From the graph, we can see that the values are
y = -6; -3; 0
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Answer:
The weed grows at a rate of 0.5 feet per day.
Step-by-step explanation:
The weed grows at a rate of 0.25 inches per hour.
And we want to convert this rate into feet per day.
We have that:
We knowt that there are 12 inches in one foot.
And since we want to cancel the inches, we can write our conversion factor as ft / 12 in.
We also know that there are 24 hours in one day.
And since we want to cancel the hours, we can write our conversion factor as 24 hr / day.
Hence:
Multiply and cancel common terms. So:
The weed grows at a rate of 0.5 feet per day.
Graph of f(x)=ln(x) is missing but we can still answer this problem.
We just have to explain about what will happen if f(x)=ln(x) changes into g(x)=1/3 ln(x)
To find that compare both functions.
We see that ln(x) gets multiplied by 1/3 to produce graph of 1/3ln(x)
there multiplifaction factor 1/3 lies between 0 and 1.
Hence graph of f(x) will compress vertically by factor of 1/3 to produce graph of g(x).
So for the final answer we will write f(x) compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)
You can check attached file for more related rules
