Question 1 (essay worth 10 points)
(03.03 mc)
the table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −12
0 −6
1 0
g(x)
g(x) = 2x + 6
part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
part b: which function has a greater y-intercept? justify your answer. (4 points)

Step-by-step explanation:

Both functions are linear, as the highest power of x is 1 in each case.

The function represented by the table has a slope of 6, since each unit increase in x results in a unit increase of 6 in y.

The function g(x) = 2x + 6 has a slope of 2.

The y intercept of f(x) is (0, -6), which we can read directly from the table.

The y int. of g(x) is 6, which can be read directly from y = 2x + 6.

g(x) has the greater y-intercept:  +6 versus -6.

.19875994384

step-by-step explanation:

1699/ 8548