Consider the graph of the function f(x)= e^x Which statement describes a key feature of function g if g(x) = e^x -7?

B

Step-by-step explanation:

the graph above shows the equation for e^x - 7

hence we can say that the horizontal asymptote is at y = -7

1. f(x) = 1/4x − 1. B)The line will be less steep. The slope is lower now

2. C)x-intercept (−1/3 , 0). Replacing f(x) = 0 we get x = -1/3

3. B)horizontal line with a slope of zero. The slope is 0 because there is no x in the equation.

4. D)Line changes from decreasing to increasing. The slope changed from negative to positive.

5. See first graph attached

6. See second graph attached. g(x) = (1/3)*x

7. C)The rate of change is different, but the y-intercepts are the same. The rate of change of Mike is negative because he withdraws $25 each week. The y-intercepts of Mike is $200 because that was his initial deposit.

8.  B)shifts the line 7 units down. f(x-7) translates f(x) 7 units to the right, given the slope is positive ( = 1) then f(x) is translated 7 units down.

9. No graph is shown

10. C)g(x) = x - 3. g(x) = f(x) - 3, so g(x) is f(x) translated 3 units down.

1. f(x) = 1/4x − 1. B)The line will be less steep. The slope is lower now

2. C)x-intercept (−1/3 , 0). Replacing f(x) = 0 we get x = -1/3

3. B)horizontal line with a slope of zero. The slope is 0 because there is no x in the equation.

4. D)Line changes from decreasing to increasing. The slope changed from negative to positive.

5. See first graph attached

6. See second graph attached. g(x) = (1/3)*x

7. C)The rate of change is different, but the y-intercepts are the same. The rate of change of Mike is negative because he withdraws $25 each week. The y-intercepts of Mike is $200 because that was his initial deposit.

8.  B)shifts the line 7 units down. f(x-7) translates f(x) 7 units to the right, given the slope is positive ( = 1) then f(x) is translated 7 units down.

9. No graph is shown

10. C)g(x) = x - 3. g(x) = f(x) - 3, so g(x) is f(x) translated 3 units down.

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

The answer is in the image 

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales