a. The output value of g(-1) is equal to 2.
b. If g(x) = 6, then x is equal to 1.
c. The zero of the function g is equal to -2.
In Mathematics and Geometry, a function defines and represents the unique relationship that exists between two or more variables in a relation, table, ordered pair, or graph.
By critically observing the graph of this polynomial function g(x), the corresponding output value for g(-1) is represented by the ordered pair (-1, 2) inquadrant IV. In function notation form, this can be written as follows;
a. g(-1) = 2.
b. If g(x) = 6, then g(1) = 6
Part c.
Furthermore, the x-intercept (zero) is the point where a graph cuts the x-axis and the y-value is 0. In this context, one value of x for which g(x) equals 0 is -2;
g(-2) = 0.