The given function is
![h(x) = \{ (0,1), (2,3), (-4, 1) \}](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%5C%7B%20%280%2C1%29%2C%20%282%2C3%29%2C%20%28-4%2C%201%29%20%5C%7D)
The inverse function is
![h^{-1}(x) = \{ (1,0), (3,2), (1,-4)\}](https://tex.z-dn.net/?f=h%5E%7B-1%7D%28x%29%20%3D%20%5C%7B%20%281%2C0%29%2C%20%283%2C2%29%2C%20%281%2C-4%29%5C%7D)
To get the inverse, we swap each x and y coordinate.
The rule is ![(x,y) \to (y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28y%2Cx%29)
So that's why the point (0,1) becomes (1,0) for instance.
Answer:
27
Step-by-step explanation:
Answer:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k). This makes sense, if you think about it.
Step-by-step explanation:
These are the correct ratios trust me I've done them a thousand times 15: 7 and 15to7
Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152