Given the function f(x)=(3^x)-1, explain how to find the average rate of change between x =2 and x = 5
1 answer:
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Keep in mind that you can gather only like terms. Two terms can be summed/subtracted if they involve the same powers of the same variables.
So, going point by point:
- We can subtract the terms, because they both involve the variable
, and we have
- We can sum the terms, because they all involve the variable
, and we have
- We can't sum this terms: 3 is a pure number, while 3r involves the variable r.
- We can only sum the two terms: we have
- We can't sum this terms: -20 is a pure number, while -15p involves the variable p.
- We can sum the terms, because they all involve the variable
, and we have
Answer:
Exponential form: 5^3
Expanded form: 5*5*5
Standard form: 125
Step-by-step explanation:
The exponential form is when we use the ^ symbol. The base is the number before the ^ and the exponent is the number after the ^. When five is cubed, the base is 5 and the exponent is 3.
Therefore, the exponential form is 5^3. We can also write it with a little 3 on the top right corner of the 5, that is .
On the expanded form we use multiplications. The exponent number tells us how many times to multiply the base number by itself. When 5 is the base and 3 the exponent, we have to multiply 3 times the number 5 by itself. That is 5*5*5.
The standard form is the result of the calculations we wrote before. The easiest way is to get it from the expanded form.
5*5*5 = 25*5 = 125