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Chapter 2
Variation and Graphs
Question | Answer |
---|---|
Direct-Variation function | A function with a formula of the form y=kx^n with k not equal to 0 and n>0 |
Z=kw^n Z=80 w=2, find Z when w=3 | 80=k(2^4) 80=k(16) k=5 z=5w^4 z=5(3^4) =5(81) z=405 |
Inverse-variation function | A function with a formula of the form y=k/x^n with k not equal to 0 and n>0 |
Inverse-variation example | d=k/w 2=k/55 110=k d=110/w w=50 d=110/50 d=2.2 |
Slope | -change in vertical distance/ change in forizontal distance -change in dependent variable/ change in independent variable -rise/run |
Rate of change | r1= (20,25)(40,100) 100-25/ 40-20= 75/20= 3.75 r2= (40,100)(60,225) 225-100/60-40=125/20=6.25 |
Graphs | y=k/x k>0 quardrants: 1 & 3. y=k/x k<0 quadrants: 2 & 4. y=k/x^2 k>0 quadrants: 1 & 2. y=k/x^2 k<0 quadranst: 3 & 4. |