Evaluating a Function In Exercises 25-28, evaluate the function at the specified values of the independent variable. Simplify the results. See Example 3.
(a)
(b)
(c)
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Calculus: An Applied Approach (Providence College: MTH 109)
- LIFE SCIENCE APPLICATIONS APPLY IT Splenic Artery Resistance Blood flow to the fetal spleen is of research interest because several diseases are associated with increased resistance in the splenic artery the artery that goes to the spleen. Researchers have found that the index of splenic artery resistance in the fetus can be described by the function y=0.057x0.001x2, where x is the number of weeks of gestation. Source: American Journal of Obstetrics and Gynecology. a. At how many weeks is the splenic artery resistance a maximum? b. What is the maximum splenic artery resistance? c. At how many weeks is the splenic artery resistance equal to 0, according to this formula? Is your answer reasonable for this function? Explain.arrow_forwardDomainFind the Domain of the function. f(x)=7x+15arrow_forwardA video game tournament begins with 243 competitors. After each round, one-third of the competitors remain. Write the function that models the change between the number of rounds, x, and the number of competitors remaining, r(x). Possible answers: r(x)=243*(1/3)x r(x)=3*(1/243)x r(x) = 243 · 3x r(x) = 3 · 243xarrow_forward
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- Evaluate the function at the given value of the independent variable. Simplify the results. f(x) = x³ F(x + Ax) – F(x) (Ax 0) Ax Need Help? Read Itarrow_forwardApplication 1.3.13 Let f(x)= 4x +3 and g(x)=x2-8x + 15. Perform the function operation and then find the domain. f(x) g(x) f(x) (Simplify your answer.) %3D in the answer box and then click Check Answerarrow_forwardFor Exercise, fill in the blanks and determine an equation for f−1(x) mentally.If function f adds 6 to x, then f−1 _____ 6 from x. Function f is defined by f(x) = x+ 6, and function f−1 is defined by f−1(x) = _____.arrow_forward
- Please explain thoroughly. The functions f and g are defined. Define the following functions and determine the domain of the composite function: f(x) = x-2 ; g(x) = x+7 f(x) = |x| ; g(x) = |x+2| f(x) = sqrt(x-2) ; g(x) = (x2 - 2) See image attached.arrow_forwardEvaluate the function f(x) = - x² + 4 at the given value of the variable. a. f(6) b. f( - 2) ..... a. f(6) = (Simplify your answer.) b. f( - 2) = (Simplify your answer.)arrow_forwardThe daily cost to a printer is modeled by the function C(x) = 4x + 1400 where C(x) is the total daily cost and is the number of copies printed. Find C(7000), and interpret its meaning. C(7000) | Enter an integer or decimal number [more..] This value represents O The product of the daily cost and the number of copies O The number of copies manufactured when the daily cost is 7000 O The daily cost when 7000 copies are printed Check Answer masa Σarrow_forward
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