Question

The function f(x)=x^2+6x+k, where k is a constant, is defined for x belongs to real numbers. Find the range of f in terms of k.
I need steps and the final answer is f(x)>=k-9​

Answer 1

Answer:

Number of Elements in Power Set –

As each element has two possibilities (present or absent}, possible subsets are 2×2×2.. n times = 2^n. Therefore, power set contains 2^n elements.

Answer 2

Answer:

f[x]> k-9

Step-by-step explanation:

1. The equation is a parabola and a upward opening one
2. The range must be every value greater and equal to the y-vertex
3. Find x-coordinate of vertex
4. Equation for finding x-coordinate is -b/2a
5. Since b = 6, and a=1
6. Plug in, -[6]/2[1]
7. x-vertex is -3
8. Find y-coordinate of vertex by plugging in -3
9. 9+[-18]+k
10. -9+k or k-9