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.

. + λrh() e 1 1 2 4 4 4 4 4 3 4 4 4 4 4 + th−1(− s(x)2 dx ω + λrh−1() e 2 1 2 4 4

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.