The names of the functions in the attached figure are:
- Cubic function
- Absolute value function
- Square root function.
- Rational function.
- Quadratic function
<h3>How to name the functions?</h3>
Functions can be named by their parent functions.
This is so because functions derive their properties from their parent functions.
There are several parent functions, some of them are:
- Linear equation
- Exponential equation
- Quadratic equation
- Rational equation
- Logarithmic equation
- Square root equation
- Cubic equation
- Cube root equation
Using the above as a guide, the names of the functions in the attached figure are:
- Cubic function
- Absolute value function
- Square root function.
- Rational function.
- Quadratic function
Read more about parent functions at:
brainly.com/question/17079244
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Answer:
D
Step-by-step explanation:
Given
x² - 10x = - 36
Solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 36 + 25
(x - 5)² = - 11 ( take the square root of both sides )
x - 5 = ± 
( add 5 to both sides )
x = 5 ± i
Thus
x = 5 - i
or x = 5 + i
To factor this you need values that add up to 2 and multiply to -15
So you get 5,-3 then you put it into your equation for you b value
X^2+5x-3x-15
Then you can factor by grouping
X(x+5)-3(x+5)
So your factors are
(X+5)(x-3)
