Identify each function as linear, quadratic, or exponential. f(x) = 4x², g(x) = 1 - x, and h(x) = 32x

Solution:

Given: Functions f(x) = 4x², g(x) = 1 - x, and h(x) = 32x

Clearly, f(x) is similar to quadratic expression : ax² + bx + c, where b, c are equal to 0

Hence, f(x) is quadratic function with the higher degree of 2.

Let us consider g(x) = 1 - x, g(x) is varying with x as it has power 1

Hence, g(x) is linear.

Clearly, h(x) is similar to linear slope equation y = mx where m = 32

Hence, h(x) is also linear.

Let us give some values for x,y and cross check

Therefore, the functions f(x) = 4x², g(x) = 1 - x, and h(x) = 32x are quadratic, linear and linear respectively.

Identify each function as linear, quadratic, or exponential. f(x) = 4x², g(x) = 1 - x, and h(x) = 32x

Summary:

The functions f(x) = 4x², g(x) = 1 - x, and h(x) = 32x are quadratic, linear and linear respectively.