Hello, I'm not really good at math, I wanted someone to check my answers for me! I'm not looking for answers, more like help! English isn't my first language so sorry if there a mistake.

Question

Key:
My Answer = (>>)

Use the function rule {f (x) = x * |-1x|^x}. Find the output of f (2).
4
3
-2
>>2 (my answer)

Which graph would best represent the following scenario: a runner gradually increases her speed at the beginning of a race, maintains her speed during the middle part of the race, then speeds up once again toward the end of the race? (You don't have to check this one since idk how to explain what the graphs looks like, but I'll try to explain it!)

A -Constant speed without no movement
B -Constant speed but slightly steeper than A answer
C - Constant speed but starts at the top of the graph and speed gets slower
>>D Constant speed then no movement then constant speed again

3x + y = 2 (also don't have to check since i don't know to explain what the graphs looks like.)

A -Cuts between quadrant II and quadrant IV
B -Cuts between quadrant II and I
C -Cuts between quadrant II half of one square in quadrant I near the origin and cuts between 3 squares in quadrant IV
>>D -Cuts between quadrant II, I and IV near the origin

Do the data in the table represent a linear function? If so, write a rule for the function.

Chart: x: -2, -1, 0, 1, 2
y: 7, 1, 8, 17, 25
yes; y = 8x + 9
yes; y = 8x + 8
yes; y = 1/8x +8
>>no

Use the slope and two points to write a linear function rule for the Graph.

Graph's Points: First Point: Quadrant I: 4,2
Second Point: Quadrant IV: -2,-2

y = -2x - 6
y = 2x - 6
y = 1/2x - 6
y = 1/2x + 6

Answer 1

1.
{f (x) = x * |-1x|^x}
f(2) = 2*|-1(2)|^2
= 2*4
= 8 , not a choice given

3.
3x + y = 2 or y = -3x + 2, so I know what the graph looks like
(leans to the left because of slope of -3, y-intercept is 2)
So it misses quadrant III, pick the choice that means that
4.
correct

5. our two points are (4,2) and (-2,-2)
( use proper notation to write points)

slope = (-2 - 2)/(-2 - 4) = -4/-6 = 2/3

working with the point (4,2)
y - 2 = (2/3)(x - 4)
times 3
3y - 6 = 2x - 8
re-arranging ....
2x - 3y = 2
or
y = (2/3) x - 2/3

OR

let the equation be y = mx + b
m = 2/3, point is (4,2)
2 = (2/3)(4) + b
2 = 8/3 + b
b = 2 - 8/3 = -2/3

y = (2/3)x - 2/3

none of the given choices are correct, check for typos

Answer 2

well i know that number 1 in D. 2

Answer 3

1. Is 2
2. D
3. D
4. D
5. B

Answer 4

1. D
2. D
3. D
4. D
5. B
100% help to check answers

Answer 5

taylor swift is 100 percent