# Identify each function as linear, quadratic, or exponential. f(x) = 4x^{2}, g(x) = 1 - x, and h(x) = 32x

**Solution:**

Given: Functions f(x) = 4x^{2}, g(x) = 1 - x, and h(x) = 32x

Clearly, f(x) is similar to quadratic expression : ax^{2} + 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

x | -1 | 0 | 1 | 2 | 3 |
---|---|---|---|---|---|

f(x) | 4 | 0 | 4 | 16 | 36 |

g(x) | 2 | 1 | 0 | -1 | -2 |

h(x) | -32 | 0 | 32 | 64 | 96 |

Therefore, the functions f(x) = 4x^{2}, g(x) = 1 - x, and h(x) = 32x are quadratic, linear and linear respectively.

# Identify each function as linear, quadratic, or exponential. f(x) = 4x^{2}, g(x) = 1 - x, and h(x) = 32x

**Summary:**

The functions f(x) = 4x^{2}, g(x) = 1 - x, and h(x) = 32x are quadratic, linear and linear respectively.

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