we know that
The exponential function is of the form
where
a is any value greater than
In General:
It is always greater than , and never crosses the x-axis
It always intersects the y-axis at
Its Domain is the Real Numbers
Its Range is the Positive Real Numbers
Examples
Let
1) For
2) For
3) For
4) For
therefore
the answer is the option
D.) exponential
Answer:
Step-by-step explanation:
From inspection of the graph, the given points are:
If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.
<u>General form</u> of a geometric sequence:
where:
Rewrite the given points as terms of the sequence:
To find the common ratio r, divide consecutive terms:
Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:
Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:
Learn more about geometric sequences here:
Finding the radius,
Plugging in our values,
Rounding to the nearest whol number,
Answer:
D.
Step-by-step explanation:
Area of sector of a circle is given as θ/360*πr²
Where,
r = radius = 12 cm
θ = 56°
Use 3.14 as π
Plug in the values into the formula and solve
Area of the sector ABC =
The answer is D