Answer:
Domin of f(x): -4 to 1
Domain of g(x): -1 to 2
Range of f(x): 4 to -6
Range of g(x): -1 to 5
Initial starting value of f(x) is 4
Initial starting value of g(x) is -1
Y-intercept of f(x) is -4
Y-intercept of g(x) is 3
Slope of f(x): -2
Slope of g(x): -2
Step-by-step explanation:
The domain of a function is the set of all possible input values (x values) for which a function is defined.
Looking at the table, we can see that the domain of f(x) is from -4 to 1
Looking at the graph, we can see that the domain of f(x) is from -1 to 2
The range of a function is the set of all possible output values (y values) for which a function is defined.
Looking at the table, we can see that the range of f(x) is from 4 to -6
Looking at the graph, we can see that the range of f(x) is from -1 to 5
We can see from the table that the initial starting value of f(x) is 4
From the graph, we can see that the initial starting value of g(x) is -1
The y-intercept is the point where the graph crosses the y-axis. At y-intercept, x = 0
We can see from the table that when x = 0, f(x) = -4, therefore the y-intercept of f(x) is -4
We can see from the graph of g(x) crosses the y-axis at y = 3, therefore the y-intercept of g(x) is 3
The slope(m) of a graph can be determined using the below formula;
We can determine the slope of f(x) using the points (-2, 0) and (0, -4) where x1 = -2, y1 = 0, x2 = 0, and y2 = -4;
We can determine the slope of g(x) using the points (-1, 5) and (2, -1) where x1 = -1, y1 = 5 and x2 = 2, and y2 = -1;
