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1 answer:
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Answer:
C. 0
Step-by-step explanation:
The points of intercection between the graph of a quadratic function of the form are given by the discriminant of the quadratic formula.
Remember that the quadratic formula is:
The discriminant of he quadratic formula is just the thing inside the radical, in other words:
- If the discriminant is negative, the graph of the quadratic function doesn't intercept the x-axis.
- If the discriminant is positive, the graph of the quadratic function intercept the x-axis at 2 points.
- If the discriminant is 0, the graph of the quadratic function intercept the x-axis at 1 point.
We can infer form our quadratic that ,
, and
, so let's replace the values in the discriminant:
Since the discriminant is negative, we can conclude that the graph of the quadratic function doesn't intercept the x-axis at any point.
Answer:
Domain = 1 to 7
Range = 4 to 28
Step-by-step explanation:
Given that:
Number of wheels used is a function of number of cars manufactured.
Number of wheels present = 28
1 car uses 4 wheels
2 cars use 8 wheels.
3 car uses 12 wheels
and so on.
Let the function be of the form:
Domain of the function is the value of that can be given as valid input to the function.
Range of the function is the value of that can be output of the function.
Let be the number of cars manufactured.
Then value of is nothing but
times 4.
We are given that maximum value of can be 28.
Therefore, maximum value of input can be 7.
Minimum number of wheels can be 4 to make a minimum of 1 car.
Therefore domain is 4 to 28 and range is 1 to 7.