Question

The graph shows the functions f(x), p(x), and g(x):

Graph of function f of x is y is equal to 4 plus the quantity 1.5 raised to the power of x. The straight line g of x joins ordered pairs 1, 3 and 3, negative 1 and is extended on both sides. The straight line p of x joins the ordered pairs 5, 0 and 6, 3 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 g(x)? (3 points)

Part B: Write any two solutions for g(x). (3 points)

Part C: What is the solution to the equation g(x) = f(x)? Justify your answer. (4 points)

Answer 1

Part A:
The solution of p(x) and g(x) is the point of intersection of the two lines. Reading this off the diagram we can see that the point of intersection is (4, -3)

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Part B:
A solution for g(x) is any pair of coordinates that lie on the line g(x). We can choose any two coordinates; (5, -5) and (-6, 17)
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Part C:
The solution to g(x) = f(x) is the point of intersection. From the graph, the point of intersection is (0, 5)