Answer:
The reasonable domain to plot the growth function is the interval [0,9]
Step-by-step explanation:
In this problem we have a exponential function of the form
where
f(d) is the radius of the algae in mm
d is the number of days
a is the initial value or y-intercept
b is the base
r is the rate of growth
b=1+r
we have
we have
For f(d)=12.81 mm
substitute in the function and solve for d
Apply log both sides
therefore
The reasonable domain to plot the growth function is the interval [0,9]
Answer: Choice A (yes it is a function; one range value exists for each domain value)
Put another way, each x corresponds to exactly one output only. We do not have any repeat x values. Any input you specify, there is only one output. If for example we had the two points (3,5) and (3,7) then the input x = 3 leads to multiple outputs y = 5 and y = 7 at the same time. This example is a non-function because of this. In this case, we don't have such repeated x values so that is why we have a function.
Try graphing out the four points given. You'll notice you cannot draw a vertical line through more than one point. Therefore, this graph passes the vertical line test. The vertical line test is to see if it's possible to draw a vertical line through more than one point on the graph. If so, then the relation fails to be a function.
Answer:
∠ 1 = 104°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an exterior angle of the triangle , then
∠ 1 = 36° + 68° = 104°
