In the following exercises, determine whether each equation is a function.
305.
(a)
(b)
(c)
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Intermediate Algebra
Additional Math Textbook Solutions
Algebra and Trigonometry
Elementary and Intermediate Algebra
College Algebra (5th Edition)
College Algebra with Modeling & Visualization (5th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
Differential Equations and Linear Algebra (4th Edition)
- In the following exercises, determine whether each equation is a function. 303. (a) 2x+y=3 (b) y=x2 (c) x+y2=5arrow_forwardIn the following functions, find (a) the equation of the axis of symmetry and (b) the vertex of its graph. 240. f(x)=2x28x3arrow_forwardA chocolate factory makes 240 chocolates in 6 minutes. The total number of chocolates produced is a function of the number of minutes that the factory is running. (a)Write an equation that describes the total number of chocolates produced (y), as a function of the number of minutes (x) that the factory is running. (b)Use the equation you wrote in part “a” to find the number of chocolates produced when the factory runs for 3 minutes, 16 minutes, and 20 minutes. (c)Use the equation you wrote in part “a” to find how many minutes are required to produce 1500 chocolates? (d)Plot the points from part “b” on the graph below (e)Is the function linear or nonlinear? Explain how you know.arrow_forward
- Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 32feet above the ground, the function h(t)=−16t2+48t+32 models the height, h, of the ball above the ground as a function of time, t. At what time will the ball reach a height of 64feet? t=?seconds, t=?secondsarrow_forwardGrace is going to launch a model rocket in her back yard. When she launches the rocket, the function h(t)=−16t2+32t+48h(t)=-16t2+32t+48 models the height, h,h, of the rocket above the ground (in feet) as a function of time, tt (in seconds).arrow_forwardA model rocket is launched from the top of a cliff 144 feet above sea level. The function s(t) = -16r + 128t + 144 describes the rocket's height above the water, s(t), in feet, t seconds after it is launched. The rocket misses the edge of the cliff on its way down and eventually lands in the ocean. How long will it take for the rocket to hit the water?arrow_forward
- Graph the equation : f(x) = (x - 1)2(x - 3)arrow_forwardThe total daily cost (in dollars) of manufacturing scented candles is given by the function C(b) = 250 + 3b, where b is the number of candles manufactured. Which function represents the average manufacturing cost, A, in terms of b?arrow_forwardFor the function y = 3x2 + 9x + 4, at the point x = 8, find the following.arrow_forward
- Mr. Baker leaves the check-in counter at the airport and walks to a moving sidewalk, which takes him to his gate. Baker's distance (d), in meters, from the check-in counter while he has been standing on the moving sidewalk for seconds, is described by the function d = 2s + 20arrow_forwardThe atmospheric pressure p on an object decreases with increasing height. This pressure, measured in millimeters of mercury, is related to the heighth (in kilometers) above sea level by the function p(h) = 760e-0.145h (a) Find the height of an aircraft if the atmospheric pressure is 320 millimeters of mercury.(b) Find the height of a mountain if the atmospheric pressure is 667 millimeters of mercury.arrow_forwardA population of coyotes in a national park triples every 20 years. The function y = 15 (3)" represents the population, where x is the number of 20-year periods. In the context of the problem, the y-intercept represents 6. The number of coyotes that are in the national park in 40 years is coyotes.arrow_forward