Given:
f(x) is an exponential function.

To find:
The value of f(6.5).
Solution:
Let the exponential function is
...(i)
Where, a is the initial value and b is the growth factor.
We have,
. So, put x=-3.5 and f(x)=25 in (i).
...(ii)
We have,
. So, put x=6 and f(x)=33 in (i).
...(iii)
On dividing (iii) by (ii), we get





Putting b=1.03 in (iii), we get




Putting a=27.63 and b=1.03 in (i), we get

Therefore, the required exponential function is
.
We can use the formula y2-y1/x2-x1 to find the slope.
1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.
2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.
3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.
4. -17-3/-11-(-1) is -20/-10. The slope is 2.
Answer:
-6 ≤ x < ∞
Step-by-step explanation:
You want the domain of the function y = √(x+6) -7.
<h3>Domain</h3>
The domain of a function is the set of x-values for which the function is defined. On a graph, it is the horizontal extent of the graph.
The square root function is undefined for negative arguments, so that limits the domain of the given function:
x+6 ≥ 0
x ≥ -6 . . . . . domain of the given function
__
<em>Additional comment</em>
When the domain is written in interval notation, both the left and right ends of the interval must be specified.
[-6, ∞)
The square bracket identifies -6 as being part of the domain. The parenthesis is used with ∞, because that number has no specific value.
Answer:
Index
Step-by-step explanation:
The 3 is the index, the √ is the radical sign and the 13 is the radicand.
So first, you want to isolate your Y. To do this, you must get it alone on ONE SIDE of the equation.
5x - 2y = 3
-5x -5x
= 
ANSWER: y = \frac{3-5x}{-2}