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The direct measurement of gravitational waves is a powerful tool forsurveying the population of black holes across the universe. The firstgravitational wave catalog from LIGO has detected black holes as heavy as$\sim50~M_\odot$, colliding when our Universe was about half its current age.However, there is yet no unambiguous evidence of black holes in theintermediate-mass range of $10^{2-5}~M_\odot$. Recent electromagneticobservations have hinted at the existence of IMBHs in the local universe;however, their masses are poorly constrained. The likely formation mechanismsof IMBHs are also not understood. Here we make the case that multibandgravitational wave astronomy --specifically, joint observations by space- andground-based gravitational wave detectors-- will be able to survey a broadpopulation of IMBHs at cosmological distances. By utilizing generalrelativistic simulations of merging black holes and state-of-the-artgravitational waveform models, we classify three distinct population ofbinaries with IMBHs in the multiband era and discuss what can be observed abouteach. Our studies show that multiband observations involving the upgraded LIGOdetector and the proposed space-mission LISA would detect the inspiral, mergerand ringdown of IMBH binaries out to redshift ~2. Assuming that next-generationdetectors, Einstein Telescope, and Cosmic Explorer, are operational duringLISA's mission lifetime, we should have multiband detections of IMBH binariesout to redshift ~5. To facilitate studies on multiband IMBH sources, here weinvestigate the multiband detectability of IMBH binaries. We provide analyticrelations for the maximum redshift of multiband detectability, as a function ofblack hole mass, for various detector combinations. Our study paves the way forfuture work on what can be learned from IMBH observations in the era ofmultiband gravitational wave astronomy.

Detectability of Intermediate-Mass Black Holes in Multiband Gravitational Wave Astronomy