Answer:
x=0.450765 or x=−0.950765
Step-by-step explanation:
14x² + 7x - 6
→ Find the product, sum and factors
Product = -6
Sum = 7
Factors = No factors
→ Since there are no factors utilise the quadratic formula
→ List the values of a, b and c
a = 14
b = 7
c= -6
→ Substitute into the formula
→ Simplify
x=0.450765 or x=−0.950765
Given:
The piecewise function is
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions and
as linear functions.
Starting value of is at x=-4 and end value is at x=3.
Starting value:
End value:
Starting value of is at x=3 and end value is at x=6.
Starting value:
End value:
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.