407Maintaining Mathematical ProficiencyMaintaining Mathematical ProficiencyEvaluating FunctionsExample 1Evaluate the functiony=2x2−10 for the valuesx=0, 1, 2, 3, and 4.Input,x2x2−10Output,y02(0)2−10−1012(1)2−10−822(2)2−10−232(3)2−10842(4)2−1022Copy and complete the table to evaluate the function.1.y=3−2x2.y=5x2+13.y=−4x+24xy123xy234xy51015Solving EquationsExample 2Solve the equation 45=5(3)x.45=5(3)xWrite original equation.45—5=5(3)x—5Divide each side by 5.9=3xSimplify.log39=log33xTake log3of each side.2=xSimplify.Solve the equation. Check your solution(s).4.7x+3=315.1—16=4(1—2)x6.216=3(x+6)7.2x+16=1448.1—4x−8=179.8(3—4)x=27—810.ABSTRACT REASONINGThe graph of the exponential decay functionf(x)=bxhas anasymptote y=0. How is the graph offdifferent from a scatter plot consisting of the points(1, b1), (2,b1+b2), (3,b1+b2+b3), . . .? How is the graph offsimilar?Dynamic Solutions available atBigIdeasMath.com