Question 1 (1 point)
1 answer:
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Answer:
Let x represents the number of pants and y represents the number of shirts.
As per the statement:
Since, a clothing store are selling pants for $8.99 and shirts for $3.99
then;
total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99
Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.
then, we have the equation of inequality;
;......[1] where x, y are natural number.
x-intercept:
Substitute the value y= 0 in [1] and solve for x;
Simplify:
Since, x is in natural number;
Similarly.
For y-intercept:
Substitute the value x= 0 in [1] and solve for x;
Simplify:
Therefore, we have
;
and
The function is 
1. let's factorize the expression
:
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
, is the same as the end behavior of 
, which has a well known graph. Check the picture attached.
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
)
so, like the graph of, the graph of :
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "
1. let's factorize the expression
the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of
so, like the graph of
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "