We can express the function in Exercise 3 algebraically as
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College Algebra
- The amount of garbage, G, produced by a city with population p is given by G=f(p) . G is measured in tons per week, and p is measured in thousands of people. a.The town of Tola has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function f. b.Explain the meaning of the statement f(5)=2 .arrow_forwardGraphical Reasoning Sketch the graph of the function f(x)=x4.Explain how the graph of each function gdiffers (if it does) from the graph of f.Determine whether gis even, odd, or neither. ag(x)=f(x)+2bg(x)=f(x+2)cg(x)=f(x)dg(x)=f(x)eg(x)=f12xfg(x)=12f(x)gg(x)=f(x3/4)hg(x)=(ff)(x)arrow_forwardWrite a function formula for g using the function f. Write a function formula for f using the function g.arrow_forward
- Evaluating a Function For the function f defined by f (x) = x2 + 7, evaluate each expression. a. f (3a)arrow_forwardFind all values of x for which the graph of f lies above the graph of g.f(x)=1/x, g(x)=1/x-1arrow_forwardA function g is given by g(x) = x2 – 3. Find g(-1) , g(0), g(a + h) , and g(x+h)-g(x)/harrow_forward
- 1. Determine algebraically whether the given function is even, odd, or neither. g(x)=-6x^3-3 2. Determine if the function is even, odd, or neither. f(x)=x^7+x^5 3. Determine algebraically whether the given function is odd, even, or neither. f(x)= x^2-3x __________ 4x^4+9arrow_forwardSimplified function of g(x)=-3x(1+x)+3x^2arrow_forwardWhat is the domain of the function? all integers all rational numbers all real numbers all whole numbersarrow_forward
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