Let f(x)=x^2+2 and g(x)=1−3x. Find each function value: (f+g)(−1)
1 answer:
You might be interested in
Complete Question
A newsletter publisher believes that above 41% of their readers own a personal computer. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim?
State the null and alternative hypotheses for the above scenario.
Answer:
The null hypothesis is
The alternative hypothesis is
Step-by-step explanation:
From the question we are told that
The proportion is
Generally the null hypothesis is
The above condition represents the null hypothesis because it contains and equality in its condition
The alternative hypothesis is
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,
Therefore, the range of the given function is .