I require assistance, please
2 answers:
Answer:
see explanation
Step-by-step explanation:
In order to determine the end behaviour, we only need to look at the term of highest degree, that is the leading term in standard form.
Given
f(x) = - 2x² + 1
So the term of highest degree is
Which is of even degree with positive coefficient
As a result the end behaviour is
As x approaches positive infinity, f(x) approaches positive infinity
As x approaches negative infinity, f(x) approaches positive infinity
----------------------------------------------------------------------------------------------
Substitute x = - 2 into f(x)
f(- 2) = - 2(- 2)² + 1 = 16 - 8 + 1 = 9 ≠ 0
Substitute x = - 1 into f(x)
f(- 1) = - 2(- 1)² + 1 = 1 - 2 + 1 = 0
Thus x = - 1 is a root of f(x) and (x + 1) is a factor of f(x)
You might be interested in
Normally, we could add exponents.
however, that only is possible when the bases are the same
recall what exponents mean
12³=12*12*12
so we cannot add exponents for 12³*11³ because that means 12*12*12*11*11*11
it would not equal 12⁶ or 11⁶
or you could refer to the rule
notice when x=x then we can add the bases
fun fact below
we can reverse a previous exponential rule like this
since
then 
therefor
we can't add the exponents because the bases are not the same
however, that only is possible when the bases are the same
recall what exponents mean
12³=12*12*12
so we cannot add exponents for 12³*11³ because that means 12*12*12*11*11*11
it would not equal 12⁶ or 11⁶
or you could refer to the rule
notice when x=x then we can add the bases
fun fact below
we can reverse a previous exponential rule like this
since
therefor
we can't add the exponents because the bases are not the same