Based on the fact that Steve was originally driving the speed limit and then stopped a few hours and drove slower, the situation models a piecewise defined function.
<h3>What is a piecewise defined function? </h3><h3 />
This is a type of function where there are two or more parts joined together. In other words, there are two equations to represent the different parts of the function.
In this case, Steve was driving at a certain speed. This is one function. Then he stopped for a couple of hours which is another function. Then the last function has him driving slower than the speed limit.
In conclusion, this is a defined piecewise function.
Find out more on piecewise functions at brainly.com/question/18499561
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Answer:
true
Step-by-step explanation:
Answer:
To find the next number in the sequence, multiply the number before by 2.
By this logic, numbers 4-8 in the sequence would be 152, 304, 608, 1,216, and 2,432
Thus, the 8th term is 2,432
The point at which the graph of the function has a tangent line with the given slope is (-5,15)
<h3>What is a tangent?</h3>
A tangent is a straight line that touches any point on a curve.
Analysis:
slope of the curve + 2x is equal to dy/dx = d/dx( + 2x) = 2x+2
Which is equal to -8
2x+2 = -8
2x = -8-2
2x = -10
x = -5
substitute x into the equation
y = + 2(-5) = 25 - 10 = 15
In conclusion, the point at which the graph of the function has a tangent at -8 is (-5,15)
Learn more about tangent to curves: brainly.com/question/22426360
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