Answer:
y =
Some of the points on the graph are: (0,-3.2),(-8,0),(2,-4), and (-3,-2)
Step-by-step explanation:
https://www.d esmos.com/calculator/jx7d3ews7b
Brainly has been acting up. It won't let us paste links.
So when copying and pasting the link above, remove the space between d and e to get the graph.
Hope that helps!
Answer:
Minimum temperature is 68.5 ° and maximum temperature is 76.5 °
Step-by-step explanation:
Given :
|x – 72.5| = 4.
When the Temperature of x is minimum So the Minimum temperature is
When the Temperature of x is maximum So the Maximum Temperature is
Therefore The minimum temperature is 68.5 ° and the maximum temperature is 76.5 °
It depends on the value of b
Exponential functions are defined for positive values of the base [ŧex] b [/tex]. Also, they're not defined if , or at least let's say that this is a trivial case, since it is the constant function 1.
Case 0<b<1:
If the base sits between 0 and 1, the exponential function is constantly decreasing. The explanation is quite intuitive, assume for the sake of simpleness that b is rational. If it sits between 0 and 1, it means that it can be written as a fraction p/q, with p<q. So, if you give a large exponent to b, you obtain
On the other hand, if you consider negative exponents, you switch numerator and denominator and then raise to the same exponent the fraction q/p, which gets larger and larger.
So, if 0<b<1, we have
and thus 0 is a horizontal asymptote as x tends to (positive) infinity.
Case b>1:
This case is very similar, except all roles are inverted. Now you start with a fraction p/q where p>q. So, with positive, large exponents you get
And as before, negative exponents switch numerator and denominator, so the fraction becomes q/p and thus you have
So, again, 0 is a horizontal asymptote, but this time for x tending towards negative infinite.