Question

The table below represents a linear function f(x) and the equation represents a function g(x):

Answer 1

Answer:

Part A: 6 and 5; Part B: f(x)

Step-by-step explanation:

Part A:

1) the common slope-interception form is: y=s*x+i, where s - slope, i - interception and y - the function f(x); g(x);

2) to re-write the given function f(x) in slope-interception form. According to the condition f(0)=-1 (the second row of the table), it means i=-1 and the its equation is f(x)=s*x-1, where s - should be calculated;

3) if to substitute x=1; y=5=f(x) into the equation f(x)=s*x-1, then s*1-1=5; ⇒ s=6, and the equation of the function f(x) is: f(x)=6x-1;

Finally, the slope of the function f(x) is 6; the slope of the function g(x) is 5.

Part B:

y-intercept of f(x) is '-1', the y intercept of g(x) is '-4'; then the greater intercept has the function f(x).