Find the range of f(x)=-2x-5 for domain -2, -1, 1, 2
2 answers:
Answer:
{-1, -3, -7, -9} is the range of the function f(x)
Step-by-step explanation:
Domain is the set of all complete possible values of x variable.
Range is the set of all values of f(x)
Given the function:
.....[1]
Domain: {-2, -1, 1, 2}
For x = -2,
Substitute in [1] we have
Similarly ,
For x = -1
For x = 1:
For x = 2
Therefore, the range of f(x) = {-1, -3, -7, -9}
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The linear function with the same y-intercept with the graphed function is: table A.
<h3>What is a Linear Function?</h3>The equation that models a linear function is, y = mx + b, where m is the slope and b is the y-intercept.
Slope of the graphed function = rise/run = - 2/1 = -2
Using one of the points on the line (x, y) = (5, 0) and the slope, m = -2, find the y-intercept (b) by substituting the values into y = mx + b:
0 = -2(5) + b
0 = -10 + b
10 = b
b = 10
The slope (m) of the graphed function is -2, and the y-intercept (b) is: 10.
Slope (m) of table A = change in y/change in x = (14 - 8)/(3 - 1) = 3
Substitute a point (x, y) = (1, 8) and slope (m) = 3 into y = mx + b to find the y-intercept (b):
8 = 3(1) + b
8 - 3 = b
5 = b
b = 5
Therefore the table with the same y-intercept as the graphed function is table A.
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Answer:
126
One two six
126
One two six