Question

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)

Answer 1

A) p(x) and f(x) do not intersect. There is no solution to p(x)=f(x).

B) f(0) = 3, f(1) = 3.5. (0, 3) and (1, 3.5) are solutions.

C) f(x) = g(x) at x=0. Their graphs intersect at (0, 3).