Roller coaster A portion of a roller coaster’s tracks can be modeled by the polynomial function
a. Find the height of the roller coaster when
b. Find the value(s) of x on the interval
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Chapter 4 Solutions
College Algebra (MindTap Course List)
- (a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.arrow_forwardFill in the blanks. When a real zero xa of a polynomial functionfis of even multiplicity, the graph of fthe x-axisatx=a,and when it is of odd multiplicity, the graph of f the x-axisatx=a.arrow_forwardIf a polynomial function of degree n has n distinctzeros, what do you know about the graph of thefunction?arrow_forward
- Fill in the blanks. If (x+5)3 occurs as a factor of a polynomial function, then the ________ of the zero x=5 is 3.arrow_forwardFuel Efficiency The fuel efficiency (in miles per gallon) of a bus going at a speed of x miles per hour is given by the polynomial 1160x2+12x. Find the fuel efficiency when x =40 mph.arrow_forwardFuel Efficiency The fuel efficiency (in miles per gallon) of a car going at a speed of x miles per hour is given by the polynomial 1150x2+13x . Find the fuel efficiency when x=30 mph.arrow_forward
- Fill in the blanks. The graph of a polynomial function is , which means that the graph has no breaks, holes, or gaps.arrow_forwardHeight of Projectile The height (in feet) of an object projected upward is given by the polynomial 16t2+60t+90 where t represents time in seconds. Find the height after t=2.5 seconds.arrow_forwardWrite a third-degree polynomial function with real coefficients and the given zeros. 4,iarrow_forward
- What can we conclude if, in general, the graph of apolynomial function exhibits the following endbehavior? As x,f(x) and as x,f(x).arrow_forwardBuilding Envelope The building code in a certain town requires that a house be at least 10 ft from the boundaries of the lot. The buildable area or building envelope for the rectangular lot shown in the following figure is given by A=(x20)(y20) a Explain how the expression for A is obtained. b Expand to express A as a polynomial in x and y. c A contractor has a choice of purchasing one of two rectangular lots, each having the same area. One lot measures 100 ft by 400 ft; the other measures 200 ft by 200 ft. Which lot has the larger building envelope?arrow_forward
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