The graph shows the functions f(x), p(x), and g(x): Graph of function f of x is y is equal to 2 plus the quantity 1.5 raised to
the power of x. The straight line g of x joins ordered pairs 1, 1 and 3, negative 3 and is extended on both sides. The straight line p of x joins the ordered pairs 4, 2 and 2, negative 1 and is extended on both sides. Courtesy of Texas Instruments Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points) Part B: Write any two solutions for f(x). (3 points) Part C: What is the solution to the equation g(x) = f(x)? Justify your answer. (4 points)
1 answer:
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In both cases,
(as a consequence of the interesecting secant-tangent theorem)
So we have
10.
(omit the negative solution because that would make at least one of AB or AD have negative length)
11.
(again, omit the solutions that would give a negative length for either AB or AD)