Provide an appropriate response.
A function is considered to be an even function if f(-x) = f(x). That is, the function is even if the value of a function for a given number is the same as the value of the function for the opposite of the given number. A function is considered to be an odd function if f(-x) = f(x). That is, the function is odd if the value of the function for a given number is the opposite of the value of the function for the opposite of the given number. For example, if for a certain function f(2) = 5 and f(-2) = 5, then it is even; and if for a certain function f(7) = -2 and f(-7) = 2, then it is odd.Given the function f(x) = x2 + 1, is the function even, odd, or neither? Evaluate f(3), f(-3), f(1), and f(-1) to make this determination.
A. odd
B. even
C. neither
Answer: B
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Solve the problem.Rachel's bus leaves at 7:25 PM and accelerates at the rate of 3 meters per second per second. Rachel, who can run 8 meters per second, arrives at the bus station 3 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time. Determine algebraically whether Rachel will catch the bus. If so, when?
A. Bus: x1 = t2, y1 = 2; Rachel: x2 = 8(t - 3), y2 = 4
Rachel will catch the bus at 7:30 PM
B. Bus: x1 = t2, y1 = 2; Rachel: x2 = 8(t - 3), y2 = 4
Rachel won't catch the bus.
C. Bus: x1 = 3t2, y1 = 2; Rachel: x2 = 4(t - 3), y2 = 4
Rachel will catch the bus at 7:29 PM
D. Bus: x1 = t2, y1 = 2; Rachel: x2 = 8(t + 3), y2 = 4
Rachel won't catch the bus.
Provide an appropriate response.The volume of a rectangular prism with a square base and height which is times as long as its width is 4 times its width. What are the dimensions of the rectangular prism?
Fill in the blank(s) with the appropriate word(s).
Solve.The power that a resistor must dissipate is jointly proportional to the square of the current flowing through the resistor and the resistance of the resistor. If a resistor needs to dissipate of power when
of current is flowing through the resistor whose resistance is
find the power that a resistor needs to dissipate when
/> of current are flowing through a resistor whose resistance is
A. 35 watts
B. 175 watts
C. 245 watts
D. 210 watts
Solve the problem.The distance formula states that d = rt. If a car drives 50 miles, the function r = is a rational function. Find the asymptotes of this function.
What will be an ideal response?