Question

Given the function g(x) = -4x + 5, 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 smaller than the value of g(-4).

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

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

Answer 1

@texaschic101 @hartnn @ganeshie8

Answer 2

@YanaSidlinskiy

Answer 3

@mathmale

Answer 4

@johnweldon1993

Answer 5

Well all you would do is plug in 2 for 'x' and then do the same thing by plugging in -4 for 'x' and see which comes out bigger

compare to the given choices...

Answer 6

A

Answer 7

Try again, remember to watch the negative values when doing the -4

Answer 8

C :)

Answer 9

Jadee: Consider explaining your choice(s) of A and/or C. I'd like to know your reasoning, so that I can give you appropriate feedback.

Answer 10

Here we'll do it out

\[\large g(x) = -4x + 5\]

\(\large g(2)\) means replace every 'x' value we have with 2
and
\(\large g(-4)\) means replace every 'x' value with -4

so

\[\large g(2) = -4(2) + 5\] what does that come out to?

Answer 11

-3

Answer 12

Correct, now for the next one

\[\large g(-4) = -4(-4) + 5\]

what does that come out to?

Answer 13

9

Answer 14

so they cant be compared

Answer 15

Not quite

\[\large g(-4) = -4(-4) + 5\]
\[\large g(-4) = 16 + 5\]
\[\large g(-4) = 21\]

does that make sense? since -4 times -4 is 16 *negative times negative = positive*

Answer 16

yes it makes sense

Answer 17

Alright so we have

\[\large g(2) = -3\]
\[\large g(-4) = 21\]

What conclusion can you make with that information?

Answer 18

the value of 2 is smaller

Answer 19

Correct, which equates to answer choice...?

Answer 20

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 smaller than the value of g(-4).

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

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

Answer 21

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

Answer 22

Really, it's great that you're sharing your reason(s) for selecting choice B. Provided that your values for g(2) and g(-4) are correct, your overall answer is also correct. Nice work.

Answer 23

can you help with3 more?