In this article, we present simple, cost-effective, passive electronic devices based on single-layer (SL) chemical vapor deposited (CVD) graphene that show nonlinear and asymmetric current-voltage characteristics (CVC) at ambient temperatures. Al2O3-Ti-Au contacts to graphene results in a nonlinear resistance to achieve nonlinearity in the CVC. Upon transfer to polyethylene terephthalate (PET), the CVD-grown SL graphene shows mobility of 6200 cm2 V-1S-1. We have observed both thermoelectric effect and thermo-resistivity in the fabricated devices such as voltage and temperature concerning change in electronic power and resistance through asymmetric and nonlinear CVC at both low and high voltages (±200 mV - ±4V) and temperatures (4 - 300 K). Graphene-based thermosensing devices can be ultra-thin, cost-effective, non-toxic/organic, flexible, and high-speed for integration into future CMOS interface, wearable self-power electronics. A strong thermo-resistivity is demonstrated in the realized nonlinear graphene-integrated resistors for its application in thermistors.