Question

Given the function g(x) = 8x - 2, compare and contrast g(-2) and g(4). Choose the statement that is true concerning these two values.

The value of g(-2) is larger than the value of g(4).

The value of g(-2) is the same as the value of g(4).

The value of g(-2) is smaller than the value of g(4).

The values of g(-2) and g(4) cannot be compared.

Answer 1

This is easy, look:

It's just telling you to plug in x = -2 and x = 4 into your function: g(x) = 8x - 2

x = -2
g(x) = 8x - 2
g(x) = 8(-2) - 2
g(x) = -16 - 2
g(x) = -18

x = 4
g(x) = 8x - 2
g(x) = 8(4) - 2
g(x) = 32 - 2
g(x) = 30

Can you tell which is the correct answer?

Answer 2

g(-2) = -18
g(4) = 30

Answer 3

The answer is C.

g(-2) < g(4) Because -18 is less than 30.

Answer 4

ok thanks :D could you help me out with one more?

Answer 5

Sure

Answer 6

The following function defines a recursive sequence.

f(0) = -2

f(1) = 8

f(n) = -4•f(n -1) - 3•f(n - 2); for n > 1

Which of the following sequences is defined by this recursive function?

-2, 8, -26, -80, …

-2, 8, -26, 80, …

-2, 12, -44, 180, …

-2, -12, -44, -180, …

Im not really good at recursive formula, I think its A or C but im not completely sure

Answer 7

I'm not that good at it either, let me see what I can do.

Answer 8

Well, look it can't be C or D, because it tells you in the question that the first two terms are -2 and 8.

Answer 9

ok, so would it be B? Because it goes Negative, Positive, Negative, Postitve?

Answer 10

Yes, I think so.

Answer 11

I only have 3 more questions could you help me? Then that would be it

Answer 12

Okay

Answer 13

The graph below shows a line segment XY.

graph of line XY going through ordered pairs negative1 comma 3 and 1 comma negative 1

What is the slope of the line segment XY?

-2

-1 over 2

1 over 2

2

Answer 14

Hold on a minute, let me try this on a graph..

Answer 15

The answer is -2.

Answer 16

ok thanks,


The first four terms of a sequence are shown below.

6, 2, -2, -6

Which of the following functions best defines this sequence?

f(1) = 6, f(n + 1) = f(n) + 4; for n ≥ 1

f(1) = 6, f(n + 1) = f(n) - 2; for n ≥ 1

f(1) = 6, f(n + 1) = f(n) - 4; for n ≥ 1

f(1) = 6, f(n + 1) = f(n) + 2; for n ≥ 1

for this one I believe it is C because in each sequence it is subtracted by 4

Answer 17

Yeah, I think it's C, too.

Answer 18

thanks your the best!!!

Answer 19

have a good day!

Answer 20

Np.