note that gradient =
at x = a
calculate
for each pair of functions and compare gradient
(a)
= 2x and
= - 1
at x = 4 : gradient = 8 and - 1 : 8 > - 1
(b)
= 2x + 3 and
= - 2
at x = 2 : gradient = 7 and - 2 and 7 > - 2
(c)
= 4x + 13 and
= 2
at x = - 7 : gradient = - 15 and 2 and 2 > - 15
(d)
= 6x - 5 and
= 2x - 2
at x = - 1 : gradient = - 11 and - 4 and - 4 > - 11
(e)
y = √x = 
= 1/(2√x) and
= 2
at x = 9 : gradient =
and 2 and 2 > 
Answer:
The easiest way to do this is to reflect Figure I over the Y axis. Then move it up 3 and left 2.
Answer:
The resulting graph is
.
Step-by-step explanation:
The resulting function is of the form:

Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Amplitude, dimensionless.
- Midpoint value, dimensionless.
The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is:
. According to the graph, the function is bounded between 5 (
) and -5 (
), and the midpoint value (
) is 0. The amplitude is determined by the following calculation:

If
and
, then:

The resulting graph is
.
The expression is
50h+25
50 times the number of hours, "h"
25 representing the one time service fee
Answer:
$74.41
Step-by-step explanation:
x = Amount of money Sylvia had in her account
Amount of money spent at the Grocery Store= $25.89
Remaining Amount of money after Grocery = $48.52
Hence, By adding the two amount above we get the amount Sylvia had in her account before grocery;
x = $25.89 + $48.52
x = $74.41