The table represents the linear function f(x), and the equation represents the linear function g(x).
compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
x f(x)
0 1
2 11
4 21
g(x) = 4x + 1
the slope of f(x) is less than the slope of g(x). the y-intercept of f(x) is equal to the y-intercept of g(x).
the slope of f(x) is less than the slope of g(x). the y-intercept of f(x) is greater than the y-intercept of g(x).
the slope of f(x) is greater than the slope of g(x). the y-intercept of f(x) is equal to the y-intercept of g(x).
the slope of f(x) is less than the slope of g(x). the y-intercept of f(x) is greater than the y-intercept of g(x).

The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

Step-by-step explanation:

Both have y-intercepts at (0,1) but g(x) has a slope of 4 while f(x) has a slope of 5.

 The correct option is

(C) The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

Step-by-step explanation:  Given that the following table represents  the linear function f(x), and the equation represents the linear function g(x) :

x                   0                     2                          4

f(x)                1                      11                          21

and

We are to compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

From the graph, we note that (0, 1), (2, 11) and (4, 21) are three points on the line graph of function f(x).

We know that

the slope of any line having two points (a, b) and (c, d) on it is given by

So, the slope of the line of f(x) is

Since the line of f(x) passes through the point (0, 1), so its equation will be

The slope-intercept form of the equation of a line is

where m is the slope and c is the y-intercept of the line.

Comparing equation (ii) and (i) with the slope-intercept form, we get

slope of f(x) = 5  and  y-intercept of f(x) = 1

and

slope of g(x) = 4  and  y-intercept of g(x) = 1.

Thus, the slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

Option (C) is CORRECT.

aloha~! my name is zalgo and i am here to you out on this gracious day. in order to compare the ratios easily, it is best that we simplify the question first. so, the cougars would have 6 wins for 5 losses, bobcats make 2 wins for 1 loss. bulldogs and tigers have a ratio where you can't simplify it. so, the team with the lowest rate would be the bobcats.

i hope that this ! : d

"stay and stay proud! " - zalgo

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice