Question

Check my answers to 3 questions? I will give a medal and fan

Answer 1

A function is shown in the table.


x g(x)
−2 2
−1 0
0 2
1 8

Which of the following is a true statement for this function?
A. The function is decreasing from x = 0 to x = 1.
B. The function is decreasing from x = −1 to x = 0.
C. The function is increasing from x = 0 to x = 1.
D. The function is increasing from x = −2 to x = −1.

Answer 2

Would it be c?

Answer 3

correct

Answer 4

C is correct...you can always think of it as a x,y chart if that helps.

Answer 5

Oh ok thank you to both of you! I have another question..

Answer 6

ok

Answer 7

Two quadratic functions are shown.

Function 1:
f(x) = 2x2 − 8x + 1

Function 2:

x g(x)
−2 2
−1 −3
0 2
1 17


Which function has the least minimum value and what are its coordinates?

A. Function 1 has the least minimum value and its coordinates are (0, 1).
B. Function 1 has the least minimum value and its coordinates are (2, −7).
C. Function 2 has the least minimum value and its coordinates are (0, 2).
D. Function 2 has the least minimum value and its coordinates are (−1, −3).

Answer 8

fast way to know this is to input 0 into both equation to see its output so...

Answer 9

when input 0 into function 1 we get f(0)=1
while g(0)=2 ....

Answer 10

So A?

Answer 11

yep

Answer 12

yes function 1 ... when x=0 y=1

Answer 13

sorry, I was distracted...go back to the last problem please. with the 2 function, I disagree with A

Answer 14

Yes I think its B, now that I look back at it @stacy.reed08

Answer 15

@pflorido , that's what I got!

Answer 16

how can it be B when they didnt give the x value of x=2 for g(x)?

Answer 17

ok, so looking at the chart I like to think of it as x,y instead of x, g(x). Based on the data given in the table, g(x) has a vertex at -1, -3, because x=-2 and x=0 have the same g(x) value. So the low point for g(x) is the vertex -1, -3

Answer 18

\[f(x)=2(x)^{2}-8(x)+1\]when x=-2 f(-2)=25 and g(x)=2
for the g(x) part they didnt give the function but they state the function output for the given value of x...thats how i see that question...

Answer 19

Water coming out from a fountain is modeled by the function f(x) = −x2 + 8x + 2 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds.

What does the average rate of change of f(x) from x = 1 to x = 4 represent?

a. The water travels an average distance of 3 feet from 1 second to 4 seconds.
b. The water travels an average distance of 2 feet from 1 second to 4 seconds.
c. The water rises up with an average speed of 3 feet per second from 1 second to 4 seconds.
d. The water rises up with an average speed of 2 feet per second from 1 second to 4 seconds.

Answer 20

@LynFran it's really hard to explain on here, but here's my terrible drawing of g(x)...when you graph it, you can clearly see that -1,-3 is the vertex of the parabola....