Answer:
Option D is correct.
Step-by-step explanation:
An exponential function is in the form of
where a is the initial value and b≠ 0 , b >1 .
Given: The function f(x) = y =
......[1]
The domain is all real numbers and the range is y > 0.
y-intercept defined as the graph crosses the y-axis.
Substitute the value of x= 0 in [1] to solve for y;
y =
= 4
y-intercept = (0, 4)
End behavior:
when b =3 >1
then;
as
,
as
,
therefore, the only graph which represents the function y =
is Option D
Answer:
Inverse of

Step-by-step explanation:
Let y = -5x-4
Swap y and x
x = -5y -4
Solve for y
x+4 = -5y
which is the inverse
6.5 is equal to 65/10 the reciprocal of that is 10/65=2/13
Answer:
Step-by-step explanation:
Scientific notation is always written as a number between 1 and 9.9999999 repeating. There follows a power of 10. I'm not sure which answer would help you see it clearer but
4.8 * 10^4 the decimal is shifted 4 places the right which is 48000 where you have no numbers, you use zeros.
2.01 * 10^6 means that you shift the decimal 6 places to the right.
2010000
So 2 million is larger than 48 thousand.
The other way to do it is just to look at the power. 6 is more than 4. 6 describes the number of places you move. So does 4. 6>4 so that's the larger number.
Answer:
<h2>
5/8</h2>
Step-by-step explanation:
Divide each term of the fraction by <u>2</u>.
10 / 2 = 5
---------------------
16 / 2 = 8
It cannot be simplified lower than 5/8.
Therefore, 5/8 is your answer
Best of luck to you.