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is it one to one or onto? why?​

Is It One To One Or Onto Why class=

Sagot :

Answer:

Step-by-step explanation:

Given quadratic function is,

f(x) = -x² - x + 1

Range of the function has been defined as (-∞, [tex]\frac{5}{4}[/tex] ]

Domain of the function is a set of all real numbers.

From the graph of this function,

At x = -3 and x = 2, value of y = -5

But for one to one functions, every x value should map to a different value of y.

Therefore, function is not one to one.

Since, every value of domain (x-value) maps the range (y-value) in the given range (-∞, [tex]\frac{5}{4}[/tex] ], function will be defined as onto.

Therefore, this function is ONTO, but NOT ONE TO ONE.

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