Answer:
(6,1)
Step-by-step explanation:
If you plug these numbers in for x and y, the equation works.
Answer:
See below
Step-by-step explanation:
Domain: set of x values
Range: set of y values
Function: no two x values are the same
Line 1:
Domain: {3, 4, 5}
Range: {1, 2, 3, 4}
Function: no since there are two points with x-coordinate 3
Line 2:
Domain: {-1, -2, 1, 2}
Range: {1, 3}
Function: yes since all x-coordinates are different
Line 3:
Domain: {-2, -1, 0, 1, 2}
Range: {0, 1, 4}
Function: yes since all x-coordinates are different
Answer:
f(x) = x³ + x² - 5x + 3
Step-by-step explanation:
The cubic polynomial has zeros at 1, 1, - 3.
Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.
Hence, we can write the polynomial as a function of x as
f(x) = (x - 1)(x - 1)(x + 3)
⇒ f(x) = (x² - 2x + 1)(x + 3)
⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3
⇒ f(x) = x³ + x² - 5x + 3
So, this is the cubic polynomial function in standard form. (Answer)
It gave you the input because it is telling you what x is
The answer is D. 12
4, 3 and 2 are all factors of 12 (least common denominator)
