If f x is a linear function, f(-1)=3, and f(1)=5, find an equation for f(x)
1 answer:
The equation of f(x) is f(x) = x + 4
<h3>How to determine the equation?</h3>The given parameters are
f(-1) = 3 and f(1) = 5
Start by calculating the slope (m) using:
This gives
Evaluate
m = 1
The equation is then calculated as;
f(x) = m(x - x1) + f(-1)
This gives
f(x) = 1(x + 1) + 3
Expand
f(x) = x + 4
Hence, the equation of f(x) is f(x) = x + 4
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Answer:
yes
Step-by-step explanation:
Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: . Substitute using the given values:
(9^2)+(12^2)=15^2
81 + 144 = 255
255 = 255.
It satisfies the theorem therefore it is a right angle triangle.