How is making a ten to add the same as making a ten to subtract? How is it different?
2 answers:
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The largest interval of x-values where the function is increasing is (-1, 1)
<h3>How to determine the largest increasing interval?</h3>The table of values is added as an attachment
From the table, the function f(x) decreases from x = -3 to x = -1 and x = 1 and x = 2
So, we make use of the intervals
x = -1, 0 and 1
From the table,
From x = -1 to 0, the change is 3
From x = 0 to 1, the change is 3
From x = -1 to 1, the change is 6
Using the above highlights, the largest increasing interval is (-1, 1)
Hence, the largest interval of x-values where the function is increasing is (-1, 1)
Read more about function interval at:
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<h3>Answer: 36.9 degrees</h3>
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Work Shown:
I'm assuming your teacher meant to say the ramp is 7 meters long and the ramp rises up 4.2 meters. It doesn't make sense the way they phrased it initially since the ramp must be the longest part (it is the hypotenuse of the right triangle).
See diagram below.
The angle of elevation is the angle made between the ramp and the ground. It's the angle amount the ramp tilts upward.
sin(angle) = opposite/hypotenuse
sin(theta) = 4.2/7
sin(theta) = 0.6
theta = arcsin(0.6)
theta = 36.869897645844
theta = 36.9
Note: inverse sine or is the same as arcsine. Make sure your calculator is in degree mode.