Write the linear function for the given function values. f(-2)=9 and f(6)=7
1 answer:
Answer:
Step-by-step explanation:
Hello!
A linear function is written in the form of , where m is the slope and b is the y-intercept.
Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).
<h2>Slope</h2>Slope can be calculated by the difference in the x-values divided by the difference in the y-values.
Solve
The slope is -1/4.
<h2 /><h2>Y-intercept</h2>The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.
Solve
We can find the equation by simply plugging in all the values that we found.
Equation:
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The intercepts and the graph on your worksheet are not correct. Please see below for details:
has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:
(-1,0) and (3,0).
The y-intercept comes from setting x=0 and calculating the y value:
so the y-intercept is (0,-3).
Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form
and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).
Knowing the apex, the x intercepts, and the y intercept, we can graph it now.
Graph is in the image attached.
Answer:
It is given that the volume of a cone = cubic units
Volume of cone with radius 'r' and height 'h' =
Equating the given volumes, we get
×
It is given that the height is 'x' units.
Therefore,
Therefore,
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