Answer:
all real numbers greater than or equal to -1
Step-by-step explanation:
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The range of the function f(x) = (x − 4)(x − 2) is all real numbers greater than or equal to −1 .
The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}
According to the question
The function f(x) = (x − 4)(x − 2)
now, we multiply both braces
f(x) = x² - 6x + 8
Now we will plot the graph to check for lowest point
x f(x)
0 8
-1 15
1 3
2 0
-2 24
As per graph at x = 3 f(x) is minimum = -1
Therefore ,
Range = [-1,∞)
Hence, the range of the function f(x) = (x − 4)(x − 2) is all real numbers greater than or equal to −1 .
To know more about range of the function here:
https://brainly.com/question/21027387
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