Question

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

PART A) what is the solution to the pair of equation is represented by g(x) and p(x)? (3 points)
PART B) write any two solutions for p(x). (3 points)
PART C: what is the solution to the equation g(x) =f(x)? justify your answer. (4 points)

Answer 1

A. (3,1)

B. (1,3)\ (2,-1)

C. (1,3),

Explanation:

PART A:

The pair of solution corresponding to the pair of equations represented by p(x) and f(x) is the point of intersection of the graph of p(x) and f(x).

So, clearly from the figure given we have the point of intersection as:

(3,1)

PART B:

Any two solutions of f(x) are the point from where the graph of f(x) passes.

Hence, the two points through which the graph of f(x) pass is:

(1,-3) and (3,1).

PART C:

The solution of the equation:

p(x)=g(x) is the point of intersection of the the graph of the function p(x) and g(x).

So, the points where p(x) and g(x) meet is:

(1,3)