To find the slope, use the slope(m) formula:
and plug in the two points
(0, 5) = (x₁, y₁)
(-9, -4) = (x₂, y₂)
[two negatives cancel each other out and become positive]
m = 1 The slope is 1
Estimate 34,182-18,717 by first rounding each number to the nearest thousand.
1 answer:
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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>