Let's put it this way: If you plot a few non-x-intercept points and then draw a curvy line through them,you will not know if you got the x-intercepts even close to being correct. <span>The only way you can be sure of your x-intercepts is to set the quadratic equal to zero and solve. So its a matter of guessing from the pictures. Basicaly said, the calculator won't give you the exact result.</span>
Given:
The given function is:

To find:
The range of the given function.
Solution:
We have,

It is a quadratic function because the highest power of the variable x is 2.
Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.
If a quadratic function is
, then the vertex of the quadratic function is:

In the given function,
.



The value of the given function at
is:


The vertex of the given downward parabola is
. It means the maximum value of the function is
. So,

![Range=\left(-\infty, \dfrac{2121}{32}\right ]](https://tex.z-dn.net/?f=Range%3D%5Cleft%28-%5Cinfty%2C%20%5Cdfrac%7B2121%7D%7B32%7D%5Cright%20%5D)
Therefore, the range of the given function is
.
Answer : option d
The results of the survey are shown in the two-way table.
To determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike, we look at the data given for mountain bike that is over 30 years old
Over 30 years old, mountain bike is 26
Now we add all the data given in the table and divide 26 by total to get relative frequency
58 + 164 + 216 + 26 = 463
Relative frequency (over 30 years 0ld ) = 
So answer is divide 26 by 463
Answer:
girls are more likely to choose a 4-year college, while boys are more likely to choose a 2-year college
Step-by-step explanation:
hope this helps :]