Combination of Functions

Solving Equations & Inequalities Graphically

5 Activities

Wize High School Algebra II Textbook (Common Core) > Combination of Functions

Solving Equations & Inequalities Graphically

5 Activities

Determine the solution to log⁡2x≤−(x−5)2+10\log_2{x}\leq{}-(x-5)^2+10log2​x≤−(x−5)2+10

A)  x≤2x\leq{}2x≤2 and x≥7.67x\geq{}7.67x≥7.67

B) x<2x<2x<2 and x>7.67x>7.67x>7.67 

C) 2≤x≤7.672\leq{}x\leq{}7.672≤x≤7.67 

D) 2<x<7.672<x<7.672<x<7.67

I don't know

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Suppose sin⁡x≥3x−5\sin\sqrt{x}\geq{}3^{x-5}sinx​≥3x−5. Determine the solution. 

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Suppose (12)x<log⁡x\Bigg(\dfrac{1}{2}\Bigg)^x<\log{x}(21​)x<logx. Determine the solution to the inequality.  

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Determine the general solution to sec⁡(x)=cot⁡x\sec({x})=\cot{x}sec(x)=cotx. 

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Determine the general solution to sin⁡(x)=tan⁡x\sin({x})=\tan{x}sin(x)=tanx. 

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Suppose sin⁡x≥3x−5\sin\sqrt{x}\geq{}3^{x-5}sinx​≥3x−5. Determine the solution. 

Solving Equations & Inequalities Graphically

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Suppose (12)x<log⁡x\Bigg(\dfrac{1}{2}\Bigg)^x<\log{x}(21​)x<logx. Determine the solution to the inequality.  

Solving Equations & Inequalities Graphically

Practice: Solving Equations & Inequalities Graphically
Solve log⁡x=x2−1\log{x}=x^2-1logx=x2−1 for xxx using a numerical guess and check strategy.

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Solve 3x=−x3^{x}=\sqrt{-x}3x=−x​ for xxx using a numerical guess and check strategy.

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Solve sin⁡3x<2x\sin{^3\sqrt{x}}<2^xsin3x​<2x. Round to the nearest whole number.

Combination of Functions

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