Answer:
See Explanation
Step-by-step explanation:
Given
Required
Determine the actual distance between x and y
The question is incomplete, as the scale distance between x and y is not given.
To solve this, we make assumptions.
A scale measurement is represented as:
So, we have:
Express as fraction
Make Actual, the subject
Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:
Answer:
a) y=5ˣ-3
b) y=5ˣ⁻²
c) y=5^(x+1/2)
d) y=5^(x+2.5)+1
Step-by-step explanation:
b: vertical stretch or compression and reflection across x-axis
a: horizontal stretch or compression and reflection across y-axis
h: horizontal shift (left and right)
k: vertical shift (up and down)
a) y=5ˣ-3
b) y=5ˣ⁻²
c) y=5^(x+1/2)
d) y=5^(x+2.5)+1
Given:
The table of values for the function f(x).
To find:
The values and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:
We know that if (a,b) is in the function f(x), then (b,a) must be in the function . So, the inverse function is defined as:
And,
...(i)
Using (i), we get
Now,
Therefore, the required values are and
.