What is the end behaviors of polynomial B(x) = (x-5)^2 (x+2)^2 (x)^2 (x-3) ?
1 answer:
Answer:
- for x approaching -∞, B(x) approaches -∞
- for x approaching +∞, B(x) approaches +∞
Step-by-step explanation:
The polynomial has odd degree (7) and a positive leading coefficient (1), so has a general shape that is rising from left to right (/). That is, the sign of the end value of B(x) matches the sign of x.
The double zeros at -2, 0, +5, and the single zero at 3 mean the graph will touch the x-axis, but not cross, at x=-2 and 0; it will cross at x=3; and it will touch, but not cross at x=5. The graph is attached.
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We have that
<span>f(x)=2x−3
g(x)=3x−7
2x-3=3x-7-------------> 3x-2x=-3+7-------> x=4
find the value of f(x) or g(x) for x=4
</span>f(x)=2x−3 -------> f(4)=2*4-3------> f(4)=5
<span>the solution is the point (4,5)
using a graph tool
see the attached figure
</span><span>statement
case a) </span><span>The solution of the equation cannot be found graphically. Esin should solve the equation algebraically.
this is not correct
case b) </span><span>The solution of the equation is the y-intercept of the linear equations.
</span>this is not correct
case c)<span>The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
</span>this is correct
case d) <span>The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect
this is not correct
the answer is
</span>case c) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
<span>f(x)=2x−3
g(x)=3x−7
2x-3=3x-7-------------> 3x-2x=-3+7-------> x=4
find the value of f(x) or g(x) for x=4
</span>f(x)=2x−3 -------> f(4)=2*4-3------> f(4)=5
<span>the solution is the point (4,5)
using a graph tool
see the attached figure
</span><span>statement
case a) </span><span>The solution of the equation cannot be found graphically. Esin should solve the equation algebraically.
this is not correct
case b) </span><span>The solution of the equation is the y-intercept of the linear equations.
</span>this is not correct
case c)<span>The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.
</span>this is correct
case d) <span>The solution of the equation is the y-coordinate of the ordered pair where the graphs of the two functions intersect
this is not correct
the answer is
</span>case c) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.