Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
Differentiate:
Simplify:
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
<u>y = -2x + 7</u>
Explanation:
<em><u>y = mx + b</u></em>
<em><u /></em>
<em>m = slope</em>
<em>b = y-intercept</em>
<em>y = a given y coordinate</em>
<em>x = a corresponding x coordinate</em>
<em />
First, we need to find the slope (m).
1) (4, -1)
2) (2/3)
m = slope = =
=
= -2
plug in the values to the equation <u>y = mx + b</u>
<u />
-1 = -2(4) + b
-1 = -8 + b
7 = b
now, we can substitute in m and b into the equation y = mx + b
<u><em>y = -2x + 7</em></u>
