Which function rule models the function over the domain specified in the table below?
1 answer:
Answer:
f(x) = 2x +3
Step-by-step explanation:
If we assume the first point in your table is supposed to be (-7, -11), then the function exhibits a constant slope of 2.
For example, from (x, y) = (3, 9) to (4, 11) the x-value changes by 1, but the y-value changes by 2.
The only offered answer choice with a slope (x-coefficient) of 2 is ...
f(x) = 2x +3
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The missing coordinate r is 11.
Solution:
Given points are (–15, 1) and (–7, r).
Slope (m) =
<u>To find the missing coordinate r:</u>
Slope formula:
Substitute the given values in the formula.
Do cross multiplication.
40 = 4r – 4
Add 4 on both side of the equation.
44 = 4r
Divide by 4 on both side of the equation.
11 = r
⇒ r = 11
Hence the missing coordinate r is 11.