Find the domain and range of the exponential<span> function </span>h<span>(x) = </span>125x<span>. Explain your findings. As x decreases, does </span>h<span> increase or decrease?</span>
Answer:
Step-by-step explanation:
y=ax^2+bx+c we are given point (0,5) so if x=0, y=c, so c=5. We have two other points
(2,3)(4,9) which gives us
4a+2b+5=3 and 16a+4b+5=9
Subtracting twice the first from the second
16a+4b+5-8a-4b-10=9-6
8a-5=3
8a=8, so a=1, so using 4a+2b+5=3 we get
4(1)+2b+5=3
2b+9=3
2b=-6
b=-3 so our quadratic is
y=x^2-3x+5
Answer:
36 cups of water
Step-by-step explanation:
Make a proportion, where x is the number of cups of water needed:
=
Cross multiply and solve for x:
2x = 72
x = 36
So, 36 cups of water will be needed
Answer:
Step-by-step explanation:
Given
Required
Determine the average rate of change from -2 to 4
This is calculated using:
In this case:
So, we have:
Calculate f(4):
Calculate f(-2)
So:
<em>The average rate of change is 2.</em>