Answer:
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Step-by-step explanation:
Find the y-coordinate of the y-intercept of the polynomial function defined below f(x)=2x(x^2+3)
2 answers:
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Answer:
y - 2 = 6 (x - 1)
Step-by-step explanation:
Slope intercept form equations look like this:
y - y1 = m (x - x1)
***m =
Using the point (1,2), we know that x1 = 1 and y1 = 2. Let's sub these values into the slope intercept equation:
y - 2 = m (x - 1)
To complete this equation, we need to find slope. Pick out another point on the graph and plug into the slope equation. We can use point (2,8), where (1,2) = Point 1 and (2,8) = Point 2.
Now that we know m = 6, let's plug that back into the original equation to get our final answer:
<u>y - 2 = 6 (x - 1) </u>
I hope this helps!
1)
The graph of the above equation is attached in the attachment below.
For all the values from negative infinity to -4, the function is positive.
X ∈ (-∞,-4]
2)
To find the x- intercept, plug y =0
x intercept = (2,0)
To find the y- intercept, plug x=0
Y- intercept = ( 0,3)
3)
Y- intercept = (0,13)
x- intercept = (13,0)
Area of triangle =
Area of triangle =
Area = sq unit.
4) The graphs of and
is attached in the attachment below.
The intersection point is ( 5,-3)
5) A = (-3,0)
B = (4,5)
C = (0,-4)
Slope of AB =
Slope intercept of line
Where, m is the slope and b is the y- intercept.
Plugging point A and the slope in the y- intercept to find the value of b.
Equation of line AB:
Slope of BC =
Plug C = (0,-4)
b=-4
equation of line BC=
Slope of line AC =
Equation of line AC =
Y intercept of AB =
