Question

Help I don't get this stuff

2. The table below represents a linear function f(x) and the equation represents a function g(x).
X F(x)
0 28
1 30
2 32

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)

Part A:
Find the Slope of f(x):
Find the Slope of g(x):
Write a sentence comparing the two slopes:
Part B:
What is the y-intercept of f(x):
What is the y-intercept of g(x):
Which one is greater?

Answer 1

Please help im so confused ill give a medal

Answer 2

g(x) = ?
g(x) is missing in the problem.

Answer 3

Im still confused

Answer 4

You have not copied the problem fully.
The problem states: "the equation represents a function g(x)"
But I don't see an equation for g(x). You have not copied the part g(x) = ....

Answer 5

g(x) = 10x - 25

Answer 6

x f(x)
0 28
1 30
2 32
Slope = \(\Large \frac{y_2-y_1}{x_2-x_1} = \frac{30-28}{1-0} = 2\).
Slope of f(x) = 2

g(x) = 10x - 25.
Compare it to y = mx + b where m is the slope.
m = 10.
Slope of g(x) = 10

Part A:
Find the Slope of f(x): 2
Find the Slope of g(x): 10
Write a sentence comparing the two slopes: g(x) has a greater slope and therefore steeper than f(x).

Answer 7

Thank you what would B be at the bottom part

Answer 8

y-intercept is the y-value when x = 0.
For f(x), the table shows that when x = 0, y or f(x) = 28.
Therefore, the y-intercept of f(x) is 28.

g(x) = 10x - 25
y-intercept is when x = 0. put x = 0
g(x) = 0 - 25 = -25
Therefore, the y-intercept of g(x) is -25.

28 > -25. Therefore, f(x) has a greater y-intercept than g(x).