The following values represent exponential function ƒ(x) and linear function g(x).
1 answer:
Alrighty
any exponential function can be written in form
y=abˣ
we are given f(1) and f(2)
also g(1) and g(2)
to solve for the equations, we do the following:
f(2)=ab²
f(1)=ab¹
so
f(2)/f(1)=(ab²)/(ab¹)=b=6/2=3
then simple subsitution tells us that a=2/3
for g(x)
g(2)/f(1)=(ab²)/(ab¹)=b=4/2.5=8/5
using experimentaion, we find that
A. if we solve we get about x=1.3
that is below 1 ad 2
or, we notice that since they are polynomials, they are continous
then make a table to show that f(1)<g(1) and f(2)>g(2) so therefor they intersect somewhere beween x=1 and x=2
B. see above in the begining
any exponential function can be written in form
y=abˣ
we are given f(1) and f(2)
also g(1) and g(2)
to solve for the equations, we do the following:
f(2)=ab²
f(1)=ab¹
so
f(2)/f(1)=(ab²)/(ab¹)=b=6/2=3
then simple subsitution tells us that a=2/3
for g(x)
g(2)/f(1)=(ab²)/(ab¹)=b=4/2.5=8/5
using experimentaion, we find that
A. if we solve we get about x=1.3
that is below 1 ad 2
or, we notice that since they are polynomials, they are continous
then make a table to show that f(1)<g(1) and f(2)>g(2) so therefor they intersect somewhere beween x=1 and x=2
B. see above in the begining
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The Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.
<h3>What is factor of polynomial?</h3>Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial expression is,
Now, Cecile add 0x as,
Now, here the product of 16 and 9 is 144. Therefore, the factors must have the product of 144 and sum of 0. Thus, by using the split the factor method as,
Thus, the Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.
Learn more about factor of polynomial here;