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y = l(x) y = h(x) 7 8 10 12 14 16 18 20 The sketch shows the graphs of the functions h and I defined by y = h(x) = log,(x – p) + q and h= (x) = mx + c. The two graphs intersect at the points A and B. (3.1) Use the graph to determine p and q, and hence write down the equation that defines h. (3.2) Write down the sets that represent the domain and the range of the function h, and the equation of the asymptote of the graph of h. (3.3) Describe the steps of the transformation process that you would apply to the graph of h to obtain the graph of y = log, x.

y = l(x) y = h(x) 7 8 10 12 14 16 18 20 The sketch shows the graphs of the functions h and I defined by y = h(x) = log,(x – p) + q and h= (x) = mx + c. The two graphs intersect at the points A and B. (3.1) Use the graph to determine p and q, and hence write down the equation that defines h. (3.2) Write down the sets that represent the domain and the range of the function h, and the equation of the asymptote of the graph of h. (3.3) Describe the steps of the transformation process that you would apply to the graph of h to obtain the graph of y = log, x.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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y = /(x) B 9. y = h(x) 7. 8 10 12 14 16 18 20 The sketch shows the graphs of the functionsh and I defined by y = h(x) = log,(x – p) + q_and h= l(x) = mx + C. The two graphs intersect at the points A and B. (3.1) Use the graph to determine p and q, and hence write down the equation that defines h. (3.2) Write down the sets that represent the domain and the range of the function h, and the equation of the asymptote of the graph of h. (3.3) Describe the steps of the transformation process that you would apply to the graph of h to obtain the graph of y = log, x. (3.4) Use the graph to determine m and c, and hence write down the equation that defines I. (3.5) Use the graphs of h and / (not the algebraic expressions for h(x) and /(x)) to solve the inequality (x) – h(x) < 0.
Transcribed Image Text:y = /(x) B 9. y = h(x) 7. 8 10 12 14 16 18 20 The sketch shows the graphs of the functionsh and I defined by y = h(x) = log,(x – p) + q_and h= l(x) = mx + C. The two graphs intersect at the points A and B. (3.1) Use the graph to determine p and q, and hence write down the equation that defines h. (3.2) Write down the sets that represent the domain and the range of the function h, and the equation of the asymptote of the graph of h. (3.3) Describe the steps of the transformation process that you would apply to the graph of h to obtain the graph of y = log, x. (3.4) Use the graph to determine m and c, and hence write down the equation that defines I. (3.5) Use the graphs of h and / (not the algebraic expressions for h(x) and /(x)) to solve the inequality (x) – h(x) < 0.
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