A function g(x) is defined as shown: what is the value of g(4)? Is it 10, 12, 14 or 16?
2+3x,& & 0\leq x< 4\\
0.5 + 10x,& & 4\leq x< 8\\
16& & x\geq 16
Functions are the backbone of many branches of mathematics including algebra and calculus. There are different kinds of functions which include trigonometric functions, polynomial functions, differential functions, etc.
Answer: For the given function g(x), The value of g(4) = 12.
Let's understand step by step.
From the given function, we see that it is a piecewise function that has different expressions for different intervals.
Hence, we can see that here, g(4) is not defined for the first expression g(x) = 2 + 3x and the third expression g(x) = 16 as the value of x doesn't include the value 4.
Hence, we put the value of x = 4 in the second equation.
⇒ g(x) = 0.5x + 10
⇒ g(4) = 0.5 (4) + 10 = 2 + 10
⇒ g(4) = 12.