Warrant Purchase Agreement - At Home Corp. and Jones Intercable Inc.


                           WARRANT PURCHASE AGREEMENT

      This Warrant Purchase Agreement (this 'Agreement') is made as of June
26, 1998, by and between At Home Corporation (the 'Company') and Jones
Intercable Inc. ('Purchaser').

      The parties hereby agree as follows:

      1. PURCHASE AND SALE OF WARRANT. Upon the execution of this Agreement, the
Company will issue and sell to Purchaser and Purchaser will purchase, in
exchange for aggregate consideration of $2,148.40, a warrant to purchase
2,046,100 shares of Series A Common Stock of the Company (the 'Warrant Shares'),
in the form attached hereto as Exhibit A (the 'Warrant').

      2. CLOSING. The closing of the purchase and sale of the Warrant (the
'Closing') shall be held on the date hereof or at such other time as the Company
and Purchaser may mutually determine. At the Closing, Purchaser will deliver to
the Company a check or wire transfer funds in the amount of the purchase price
of the Warrant and the Company shall deliver the Warrant to Purchaser.

      3. REPRESENTATIONS AND WARRANTIES OF PURCHASER. The representations and
warranties of Purchaser set forth in Section 8 of the Warrant are incorporated
herein as if fully set forth herein. In addition, Purchaser represents and
warrants to the Company that:

            (i) The number of Living Units (as such term is defined in the
Distribution Agreement) in those geographic areas that were used for calculating
the number of Warrant Shares are indicated in the column entitled 'Planned
Maximum Homes Passed' on the Master Roll-Out Plan attached to the @Home Network
Distribution Agreement, dated as of June 26, 1998 (the 'Distribution
Agreement'), and such numbers are true and correct as of that date.

            (ii) None of the Living Units described in Section 3(i) above were
transferred to Purchaser from: (x) Tele-Communications, Inc., Comcast
Corporation or Cox Enterprises, Inc. on or after June 4, 1996; (y) Cablevision
Systems Corporation on or after October 2, 1997; or (z) Century Communications
Corporation on or after May 1, 1998.

      4. BINDING AGREEMENT; GOVERNING LAW. The terms and conditions of this
Agreement shall inure to the benefit of and be binding upon the respective
successors and assigns of the parties. This Agreement shall be governed by and
construed under the laws of the State of California as applied to agreements
among California residents, made and to be performed entirely within the State
of California.

      5. MODIFICATION; WAIVER. No modification or waiver of any provision of
this Agreement or consent to departure therefrom shall be effective unless in
writing and approved by the Company and Purchaser.


      6. COUNTERPARTS. This Agreement may be executed in two or more
counterparts, each of which shall be deemed an original, but all of which
together shall constitute one and the same instrument.

      IN WITNESS WHEREOF, the parties have executed this Agreement as of the
date first written above.

AT HOME CORPORATION:                      JONES INTERCABLE INC.:

By:    /s/ Dean Gilbert                   By:     /s/ Philip Laxar
      -----------------------------              -------------------------------
Name:      Dean Gilbert                   Name:       Philip Laxar
      -----------------------------              -------------------------------
Title:     S.V.P. & G.M.                  Title:      Sr. VP Programming
      -----------------------------              -------------------------------
Date:      6/26/98                        Date:       June 26, 1998
      -----------------------------              -------------------------------


                                      -2-