Answer:
g(x) is f(x) expanded horizontally by a factor of 2
Step-by-step explanation:
<u>Given</u>:
f(x) = 16^x
g(x) = 16^(x/2)
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Replacing x in a function with x/k expands the graph horizontally by a factor of k. Here, it seems we have ...
g(x) = f(x/2)
so g(x) is a horizontal expansion of f(x) by a factor of 2.
you are correct the slope should be 3/2x
Answer:
1. price of 1 package = 14.94 / 3 = 4.98
2. 14.94/3 = 4.98
3. 24.9
4. 4.98 × 5 = 24.98
Since Antonio makes 4 times the biscuits he uses 4 times the flour.
4 * 2 3/4 = 11 cups flour used
If there a 4 cups in a pound then 5 pounds would be 5 * 4 = 20 cups of flour in 5 pounds.
20 cups - 11 cups = 9 cups of flour left over
<span>B)9 cups</span>
Given:
The function is
To find:
The average rate of change of the function over the interval −5 ≤ x ≤ 4.
Solution:
The average rate of change of a function f(x) over the interval [a,b] is
Putting x=-5 in the given function, we get
Putting x=4 in the given function, we get
Now, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is
Therefore, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is -4.