The function values are r(3) = 11.5, r(6 1/2) = 29 and x = -3.5 and the function values are f(-4) = -1, f(1) = -2 and f(4) = -4
How to determine the value of the function?
Function r(x)
The function is given as:
r(x) = 5x - 3.5
When x = 3, we have:
r(3) = 5 * 3 - 3.5
Evaluate
r(3) = 11.5
When x = 6 1/2, we have:
r(6 1/2) = 5 * 6 1/2 - 3.5
Evaluate
r(6 1/2) = 29
When r(x) = -21, we have:
-21 = 5x - 3.5
Add 3.5 to both sides
5x = 3.5 - 21
Evaluate the difference
5x = -17.5
Divide by 5
x = -3.5
Hence, the function values are r(3) = 11.5, r(6 1/2) = 29 and x = -3.5
Function f(x)
The function is represented by the graph
When x = -4, we have:
f(x) = -1
This means that
f(-4) = -1
When x = 1, we have:
f(x) = -2
This means that
f(1) = -2
When f(x) = -4, we have:
x = 4
This means that
f(4) = -4
Hence, the function values are f(-4) = -1, f(1) = -2 and f(4) = -4
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