1 answer:
You might be interested in
The function is
.
To the left of 1 the function is a quadratic polynomial, to the right, it is a linear polynomial. Polynomial functions are always continuous, so the only candidate point for discontinuity is x=1.
The left limit is calculated with 1 substituted in
, which gives 5.
The right limit, is computed using the rule for the right part of 1, that is x+4.
Thus, the right limit is 1+4=5.
So, both left and right limits are equal. Now if f(1) is 5, then the function is continuous at 1.
But the function is not defined for x=1, that is x=1 is not in the domain of the function. Thus, we have a "whole" (a discontinuity) in the graph of the function.
The reason is now clear:
Answer:<span> f(1) is not defined</span>
To the left of 1 the function is a quadratic polynomial, to the right, it is a linear polynomial. Polynomial functions are always continuous, so the only candidate point for discontinuity is x=1.
The left limit is calculated with 1 substituted in
The right limit, is computed using the rule for the right part of 1, that is x+4.
Thus, the right limit is 1+4=5.
So, both left and right limits are equal. Now if f(1) is 5, then the function is continuous at 1.
But the function is not defined for x=1, that is x=1 is not in the domain of the function. Thus, we have a "whole" (a discontinuity) in the graph of the function.
The reason is now clear:
Answer:<span> f(1) is not defined</span>
<u>Answer:</u>
3 months
<u>Explanation: </u>
Amount saved in Gina’s saving account= 250
Amount Gina puts in her account each month= 4% of 3100
=
= 4 × 31
= 124
Hence total amount added in each month =124
Therefore money credited x months
= 250 + 124 x
Amount saved in Rodger’s account = 350
Amount Rodger puts in his account each month = 3% of 2900
=
=87
Hence total amount added in each month = 87
Therefore money credited x months
=350 + 87 x
Now to calculate the nearest month when Gina have more in her account than Rodger does
=Amount of money credited in x months in Gina’s account ≥ Amount of money credited in x months in Rodger’s account
=250+124 x ≥ 350+87 x
=37 x≥100
= x≥2.78
=3